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52152192 = 2732172663
BaseRepresentation
bin1100011011110…
…0011110000000
310122010121100200
43012330132000
5101322332232
65101445200
71202200131
oct306743600
9118117320
1052152192
1127490794
1215570800
13aa5cbb1
146cd7c88
1548a277c
hex31bc780

52152192 has 96 divisors (see below), whose sum is σ = 158960880. Its totient is φ = 16355328.

The previous prime is 52152173. The next prime is 52152193. The reversal of 52152192 is 29125125.

52152192 is a `hidden beast` number, since 52 + 1 + 521 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×521521922 = 5439702260809728, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52152193) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18253 + ... + 20915.

Almost surely, 252152192 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 52152192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79480440).

52152192 is an abundant number, since it is smaller than the sum of its proper divisors (106808688).

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

52152192 is a wasteful number, since it uses less digits than its factorization.

52152192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2700 (or 2685 counting only the distinct ones).

The product of its digits is 1800, while the sum is 27.

The square root of 52152192 is about 7221.6474574712. The cubic root of 52152192 is about 373.6149009673.

The spelling of 52152192 in words is "fifty-two million, one hundred fifty-two thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 192 204 272 288 306 384 408 544 576 612 816 1088 1152 1224 1632 2176 2448 2663 3264 4896 5326 6528 7989 9792 10652 15978 19584 21304 23967 31956 42608 45271 47934 63912 85216 90542 95868 127824 135813 170432 181084 191736 255648 271626 340864 362168 383472 407439 511296 543252 724336 766944 814878 1022592 1086504 1448672 1533888 1629756 2173008 2897344 3067776 3259512 4346016 5794688 6519024 8692032 13038048 17384064 26076096 52152192