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5162832 = 2433171937
BaseRepresentation
bin10011101100011101010000
3100201022002000
4103230131100
52310202312
6302354000
761611663
oct23543520
910638060
105162832
112a06a04
12188b900
1310b9c3c
149856da
156beadc
hex4ec750

5162832 has 160 divisors (see below), whose sum is σ = 16963200. Its totient is φ = 1492992.

The previous prime is 5162831. The next prime is 5162837. The reversal of 5162832 is 2382615.

5162832 is a `hidden beast` number, since 5 + 1 + 628 + 32 = 666.

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

Its product of digits (2880) is a multiple of the sum of its prime factors (90).

It is a junction number, because it is equal to n+sod(n) for n = 5162796 and 5162805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5162831) 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 31 ways as a sum of consecutive naturals, for example, 139518 + ... + 139554.

It is an arithmetic number, because the mean of its divisors is an integer number (106020).

Almost surely, 25162832 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 5162832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8481600).

5162832 is an abundant number, since it is smaller than the sum of its proper divisors (11800368).

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

5162832 is a wasteful number, since it uses less digits than its factorization.

5162832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 78 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 5162832 is about 2272.1866120546. The cubic root of 5162832 is about 172.8340596443.

The spelling of 5162832 in words is "five million, one hundred sixty-two thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 19 24 27 34 36 37 38 48 51 54 57 68 72 74 76 102 108 111 114 136 144 148 152 153 171 204 216 222 228 272 296 304 306 323 333 342 408 432 444 456 459 513 592 612 629 646 666 684 703 816 888 912 918 969 999 1026 1224 1258 1292 1332 1368 1406 1776 1836 1887 1938 1998 2052 2109 2448 2516 2584 2664 2736 2812 2907 3672 3774 3876 3996 4104 4218 5032 5168 5328 5624 5661 5814 6327 7344 7548 7752 7992 8208 8436 8721 10064 11248 11322 11628 11951 12654 15096 15504 15984 16872 16983 17442 18981 22644 23256 23902 25308 30192 33744 33966 34884 35853 37962 45288 46512 47804 50616 67932 69768 71706 75924 90576 95608 101232 107559 135864 139536 143412 151848 191216 215118 271728 286824 303696 322677 430236 573648 645354 860472 1290708 1720944 2581416 5162832