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5152997080 = 2357115331567
BaseRepresentation
bin1001100110010010…
…00111111011011000
3111022010021101002201
410303021013323120
541023131401310
62211154335544
7241460516050
oct46311077330
914263241081
105152997080
112204806a80
12bb988a5b4
136417699ca
1436c52a560
152025c8e3a
hex133247ed8

5152997080 has 128 divisors (see below), whose sum is σ = 14728366080. Its totient is φ = 1575774720.

The previous prime is 5152997051. The next prime is 5152997099. The reversal of 5152997080 is 807992515.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 5152997080.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147457 + ... + 179023.

It is an arithmetic number, because the mean of its divisors is an integer number (115065360).

Almost surely, 25152997080 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 5152997080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7364183040).

5152997080 is an abundant number, since it is smaller than the sum of its proper divisors (9575369000).

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

5152997080 is a wasteful number, since it uses less digits than its factorization.

5152997080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31649 (or 31645 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 46.

The square root of 5152997080 is about 71784.3790806886. The cubic root of 5152997080 is about 1727.2424332368.

The spelling of 5152997080 in words is "five billion, one hundred fifty-two million, nine hundred ninety-seven thousand, eighty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 53 55 56 70 77 88 106 110 140 154 212 220 265 280 308 371 385 424 440 530 583 616 742 770 1060 1166 1484 1540 1855 2120 2332 2915 2968 3080 3710 4081 4664 5830 7420 8162 11660 14840 16324 20405 23320 31567 32648 40810 63134 81620 126268 157835 163240 220969 252536 315670 347237 441938 631340 694474 883876 1104845 1262680 1388948 1673051 1736185 1767752 2209690 2430659 2777896 3346102 3472370 4419380 4861318 6692204 6944740 8365255 8838760 9722636 11711357 12153295 13384408 13889480 16730510 18403561 19445272 23422714 24306590 33461020 36807122 46845428 48613180 58556785 66922040 73614244 92017805 93690856 97226360 117113570 128824927 147228488 184035610 234227140 257649854 368071220 468454280 515299708 644124635 736142440 1030599416 1288249270 2576498540 5152997080