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52185792 = 263475783
BaseRepresentation
bin1100011100010…
…0101011000000
310122012022110010
43013010223000
5101324421132
65102304520
71202400111
oct307045300
9118168403
1052185792
1127503a5a
1215588140
13aa72289
146d06208
1548ac6cc
hex31c4ac0

52185792 has 56 divisors (see below), whose sum is σ = 141037056. Its totient is φ = 17022208.

The previous prime is 52185769. The next prime is 52185797. The reversal of 52185792 is 29758125.

It is a hoax number, since the sum of its digits (39) 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 52185792.

It is not an unprimeable number, because it can be changed into a prime (52185797) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6133 + ... + 11915.

Almost surely, 252185792 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 52185792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70518528).

52185792 is an abundant number, since it is smaller than the sum of its proper divisors (88851264).

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

52185792 is a wasteful number, since it uses less digits than its factorization.

52185792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5845 (or 5835 counting only the distinct ones).

The product of its digits is 50400, while the sum is 39.

The square root of 52185792 is about 7223.9734218780. The cubic root of 52185792 is about 373.6951198115.

The spelling of 52185792 in words is "fifty-two million, one hundred eighty-five thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 141 188 192 282 376 564 752 1128 1504 2256 3008 4512 5783 9024 11566 17349 23132 34698 46264 69396 92528 138792 185056 271801 277584 370112 543602 555168 815403 1087204 1110336 1630806 2174408 3261612 4348816 6523224 8697632 13046448 17395264 26092896 52185792