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252434608 = 24191495573
BaseRepresentation
bin11110000101111…
…01100010110000
3122121000000011221
433002331202300
51004110401413
641014314424
76153441646
oct1702754260
9577000157
10252434608
1111a546948
1270658a14
13403b58ba
1425751196
151726568d
hexf0bd8b0

252434608 has 40 divisors (see below), whose sum is σ = 518382000. Its totient is φ = 118750464.

The previous prime is 252434599. The next prime is 252434629. The reversal of 252434608 is 806434252.

252434608 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2524346082 = 127446462632227328, 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, 42510 + ... + 48082.

It is an arithmetic number, because the mean of its divisors is an integer number (12959550).

Almost surely, 2252434608 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 252434608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259191000).

252434608 is an abundant number, since it is smaller than the sum of its proper divisors (265947392).

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

252434608 is a wasteful number, since it uses less digits than its factorization.

252434608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5749 (or 5743 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

The square root of 252434608 is about 15888.1908347049. The cubic root of 252434608 is about 631.9988650303.

The spelling of 252434608 in words is "two hundred fifty-two million, four hundred thirty-four thousand, six hundred eight".

Divisors: 1 2 4 8 16 19 38 76 149 152 298 304 596 1192 2384 2831 5573 5662 11146 11324 22292 22648 44584 45296 89168 105887 211774 423548 830377 847096 1660754 1694192 3321508 6643016 13286032 15777163 31554326 63108652 126217304 252434608