Search a number
-
+
549378144 = 25327733733
BaseRepresentation
bin100000101111101…
…101100001100000
31102021202022010200
4200233231201200
52111120100034
6130303025200
716420431360
oct4057554140
91367668120
10549378144
11262122a27
12133b9b200
1389a83433
1452d6a9a0
153336da99
hex20bed860

549378144 has 144 divisors (see below), whose sum is σ = 1810422432. Its totient is φ = 154773504.

The previous prime is 549378143. The next prime is 549378169. The reversal of 549378144 is 441873945.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 549378144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (549378143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145302 + ... + 149034.

It is an arithmetic number, because the mean of its divisors is an integer number (12572378).

Almost surely, 2549378144 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 549378144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (905211216).

549378144 is an abundant number, since it is smaller than the sum of its proper divisors (1261044288).

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

549378144 is a wasteful number, since it uses less digits than its factorization.

549378144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3829 (or 3818 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 549378144 is about 23438.8170349956. The cubic root of 549378144 is about 819.0123663641.

The spelling of 549378144 in words is "five hundred forty-nine million, three hundred seventy-eight thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 73 84 96 112 126 144 146 168 219 224 252 288 292 336 438 504 511 584 657 672 876 1008 1022 1168 1314 1533 1752 2016 2044 2336 2628 3066 3504 3733 4088 4599 5256 6132 7008 7466 8176 9198 10512 11199 12264 14932 16352 18396 21024 22398 24528 26131 29864 33597 36792 44796 49056 52262 59728 67194 73584 78393 89592 104524 119456 134388 147168 156786 179184 209048 235179 268776 272509 313572 358368 418096 470358 537552 545018 627144 817527 836192 940716 1075104 1090036 1254288 1635054 1881432 1907563 2180072 2452581 2508576 3270108 3762864 3815126 4360144 4905162 5722689 6540216 7525728 7630252 8720288 9810324 11445378 13080432 15260504 17168067 19620648 22890756 26160864 30521008 34336134 39241296 45781512 61042016 68672268 78482592 91563024 137344536 183126048 274689072 549378144