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252476028 = 2237721931
BaseRepresentation
bin11110000110001…
…11101001111100
3122121002010000000
433003013221330
51004113213103
641015234300
76154003500
oct1703075174
9577063000
10252476028
1111a574a82
1270678990
13403cb6cc
1425762300
1517272aa3
hexf0c7a7c

252476028 has 288 divisors, whose sum is σ = 837580800. Its totient is φ = 66134880.

The previous prime is 252475999. The next prime is 252476039. The reversal of 252476028 is 820674252.

252476028 is a `hidden beast` number, since 2 + 5 + 2 + 47 + 602 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 252475983 and 252476001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8144373 + ... + 8144403.

Almost surely, 2252476028 is an apocalyptic number.

252476028 is a gapful number since it is divisible by the number (28) 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 252476028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418790400).

252476028 is an abundant number, since it is smaller than the sum of its proper divisors (585104772).

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

252476028 is a wasteful number, since it uses less digits than its factorization.

252476028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 252476028 is about 15889.4942650797. The cubic root of 252476028 is about 632.0334297064.

The spelling of 252476028 in words is "two hundred fifty-two million, four hundred seventy-six thousand, twenty-eight".