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52504256 = 267163719
BaseRepresentation
bin1100100001001…
…0011011000000
310122210111022002
43020102123000
5101420114011
65113203132
71205164430
oct310223300
9118714262
1052504256
1127701252
12157004a8
13ab5420c
146d8a2c0
154921c3b
hex32126c0

52504256 has 56 divisors (see below), whose sum is σ = 119969280. Its totient is φ = 22332672.

The previous prime is 52504219. The next prime is 52504261. The reversal of 52504256 is 65240525.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×525042562 = 5513393796227072, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72665 + ... + 73383.

Almost surely, 252504256 is an apocalyptic number.

52504256 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 52504256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59984640).

52504256 is an abundant number, since it is smaller than the sum of its proper divisors (67465024).

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

52504256 is a wasteful number, since it uses less digits than its factorization.

52504256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 901 (or 891 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 29.

The square root of 52504256 is about 7245.9820590449. The cubic root of 52504256 is about 374.4537373862.

The spelling of 52504256 in words is "fifty-two million, five hundred four thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 163 224 326 448 652 719 1141 1304 1438 2282 2608 2876 4564 5033 5216 5752 9128 10066 10432 11504 18256 20132 23008 36512 40264 46016 73024 80528 117197 161056 234394 322112 468788 820379 937576 1640758 1875152 3281516 3750304 6563032 7500608 13126064 26252128 52504256