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52653216 = 25371117419
BaseRepresentation
bin1100100011011…
…0110010100000
310200002001122010
43020312302200
5101434400331
65120312520
71206354630
oct310666240
9120061563
1052653216
11277a3160
1215772740
13aba6c65
146dc86c0
154950e46
hex3236ca0

52653216 has 192 divisors, whose sum is σ = 182891520. Its totient is φ = 12840960.

The previous prime is 52653203. The next prime is 52653239. The reversal of 52653216 is 61235625.

It is a super-2 number, since 2×526532162 = 5544722310285312, which contains 22 as substring.

It is an unprimeable number.

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, 125455 + ... + 125873.

It is an arithmetic number, because the mean of its divisors is an integer number (952560).

Almost surely, 252653216 is an apocalyptic number.

52653216 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52653216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91445760).

52653216 is an abundant number, since it is smaller than the sum of its proper divisors (130238304).

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

52653216 is a wasteful number, since it uses less digits than its factorization.

52653216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 459 counting only the distinct ones).

The product of its digits is 10800, while the sum is 30.

The square root of 52653216 is about 7256.2535788105. The cubic root of 52653216 is about 374.8075243363.

The spelling of 52653216 in words is "fifty-two million, six hundred fifty-three thousand, two hundred sixteen".