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5244332040 = 233451795213
BaseRepresentation
bin1001110001001011…
…00010100000001000
3111112111010200010000
410320211202200020
541220022111130
62224220123000
7243650041533
oct47045424010
914474120100
105244332040
11225131a312
121024396460
1365766846c
1437a703a1a
1520a61b260
hex138962808

5244332040 has 160 divisors (see below), whose sum is σ = 18663848280. Its totient is φ = 1316210688.

The previous prime is 5244331999. The next prime is 5244332047. The reversal of 5244332040 is 402334425.

5244332040 is a `hidden beast` number, since 5 + 24 + 433 + 204 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4127034564 + 1117297476 = 64242^2 + 33426^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 5244331995 and 5244332013.

It is not an unprimeable number, because it can be changed into a prime (5244332047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7474 + ... + 102686.

Almost surely, 25244332040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5244332040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9331924140).

5244332040 is an abundant number, since it is smaller than the sum of its proper divisors (13419516240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5244332040 is a wasteful number, since it uses less digits than its factorization.

5244332040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95253 (or 95240 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

The square root of 5244332040 is about 72417.7605287543. The cubic root of 5244332040 is about 1737.3876375417.

Adding to 5244332040 its reverse (402334425), we get a palindrome (5646666465).

The spelling of 5244332040 in words is "five billion, two hundred forty-four million, three hundred thirty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 27 30 34 36 40 45 51 54 60 68 72 81 85 90 102 108 120 135 136 153 162 170 180 204 216 255 270 306 324 340 360 405 408 459 510 540 612 648 680 765 810 918 1020 1080 1224 1377 1530 1620 1836 2040 2295 2754 3060 3240 3672 4590 5508 6120 6885 9180 11016 13770 18360 27540 55080 95213 190426 285639 380852 476065 571278 761704 856917 952130 1142556 1428195 1618621 1713834 1904260 2285112 2570751 2856390 3237242 3427668 3808520 4284585 4855863 5141502 5712780 6474484 6855336 7712253 8093105 8569170 9711726 10283004 11425560 12853755 12948968 14567589 15424506 16186210 17138340 19423452 20566008 24279315 25707510 29135178 30849012 32372420 34276680 38561265 38846904 43702767 48558630 51415020 58270356 61698024 64744840 72837945 77122530 87405534 97117260 102830040 116540712 131108301 145675890 154245060 174811068 194234520 218513835 262216602 291351780 308490120 349622136 437027670 524433204 582703560 655541505 874055340 1048866408 1311083010 1748110680 2622166020 5244332040