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52727904 = 2532223821
BaseRepresentation
bin1100100100100…
…1000001100000
310200012212002100
43021021001200
5101444243104
65122050400
71210115445
oct311110140
9120185070
1052727904
1127844289
12157a9a00
13ac01c58
1470079cc
154968139
hex3249060

52727904 has 72 divisors (see below), whose sum is σ = 150800832. Its totient is φ = 17475840.

The previous prime is 52727903. The next prime is 52727911. The reversal of 52727904 is 40972725.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52727903) 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, 63814 + ... + 64634.

It is an arithmetic number, because the mean of its divisors is an integer number (2094456).

Almost surely, 252727904 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 52727904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75400416).

52727904 is an abundant number, since it is smaller than the sum of its proper divisors (98072928).

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

52727904 is a wasteful number, since it uses less digits than its factorization.

52727904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1060 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 52727904 is about 7261.3982124657. The cubic root of 52727904 is about 374.9846607059.

The spelling of 52727904 in words is "fifty-two million, seven hundred twenty-seven thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 223 288 446 669 821 892 1338 1642 1784 2007 2463 2676 3284 3568 4014 4926 5352 6568 7136 7389 8028 9852 10704 13136 14778 16056 19704 21408 26272 29556 32112 39408 59112 64224 78816 118224 183083 236448 366166 549249 732332 1098498 1464664 1647747 2196996 2929328 3295494 4393992 5858656 6590988 8787984 13181976 17575968 26363952 52727904