Search a number
-
+
5077858032 = 2433133129167
BaseRepresentation
bin1001011101010100…
…11111011011110000
3111002212212220201000
410232222133123300
540344412424112
62155512042000
7236556036552
oct45652373360
914085786630
105077858032
112176355995
12b98693300
1362c01c030
1436256b4d2
151eabd57dc
hex12ea9f6f0

5077858032 has 160 divisors (see below), whose sum is σ = 16203407360. Its totient is φ = 1511965440.

The previous prime is 5077857997. The next prime is 5077858039. The reversal of 5077858032 is 2308587705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5077858039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 159513 + ... + 188679.

It is an arithmetic number, because the mean of its divisors is an integer number (101271296).

Almost surely, 25077858032 is an apocalyptic number.

5077858032 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5077858032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8101703680).

5077858032 is an abundant number, since it is smaller than the sum of its proper divisors (11125549328).

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

5077858032 is a wasteful number, since it uses less digits than its factorization.

5077858032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29228 (or 29216 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The square root of 5077858032 is about 71259.0908726739. The cubic root of 5077858032 is about 1718.8059623396.

The spelling of 5077858032 in words is "five billion, seventy-seven million, eight hundred fifty-eight thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 31 36 39 48 52 54 62 72 78 93 104 108 117 124 144 156 186 208 216 234 248 279 312 351 372 403 432 468 496 558 624 702 744 806 837 936 1116 1209 1404 1488 1612 1674 1872 2232 2418 2808 3224 3348 3627 4464 4836 5616 6448 6696 7254 9672 10881 13392 14508 19344 21762 29016 29167 43524 58032 58334 87048 87501 116668 174096 175002 233336 262503 350004 379171 466672 525006 700008 758342 787509 904177 1050012 1137513 1400016 1516684 1575018 1808354 2100024 2275026 2712531 3033368 3150036 3412539 3616708 4200048 4550052 5425062 6066736 6300072 6825078 7233416 8137593 9100104 10237617 10850124 11754301 12600144 13650156 14466832 16275186 18200208 20475234 21700248 23508602 24412779 27300312 32550372 35262903 40950468 43400496 47017204 48825558 54600624 65100744 70525806 81900936 94034408 97651116 105788709 130201488 141051612 163801872 188068816 195302232 211577418 282103224 317366127 390604464 423154836 564206448 634732254 846309672 1269464508 1692619344 2538929016 5077858032