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252351828 = 22339832377
BaseRepresentation
bin11110000101010…
…01010101010100
3122120211210122000
433002221111110
51004100224303
641012435300
76152645421
oct1702512524
9576753560
10252351828
1111a49a733
1270618b30
1340387011
142572cd48
151724ada3
hexf0a9554

252351828 has 48 divisors (see below), whose sum is σ = 655186560. Its totient is φ = 83996352.

The previous prime is 252351809. The next prime is 252351839. The reversal of 252351828 is 828153252.

252351828 is a `hidden beast` number, since 2 + 523 + 51 + 82 + 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 = 252351792 and 252351801.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104976 + ... + 107352.

It is an arithmetic number, because the mean of its divisors is an integer number (13649720).

Almost surely, 2252351828 is an apocalyptic number.

It is an amenable number.

252351828 is an abundant number, since it is smaller than the sum of its proper divisors (402834732).

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

252351828 is a wasteful number, since it uses less digits than its factorization.

252351828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3373 (or 3365 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 252351828 is about 15885.5855416160. The cubic root of 252351828 is about 631.9297744168.

The spelling of 252351828 in words is "two hundred fifty-two million, three hundred fifty-one thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 983 1966 2377 2949 3932 4754 5898 7131 8847 9508 11796 14262 17694 21393 26541 28524 35388 42786 53082 64179 85572 106164 128358 256716 2336591 4673182 7009773 9346364 14019546 21029319 28039092 42058638 63087957 84117276 126175914 252351828