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252806016 = 273658349
BaseRepresentation
bin11110001000110…
…00001110000000
3122121200212122210
433010120032000
51004204243031
641030302120
76156546531
oct1704301600
9577625583
10252806016
1111a77a9a1
12707b7940
13404b5978
142580a688
15172da746
hexf118380

252806016 has 32 divisors (see below), whose sum is σ = 671517000. Its totient is φ = 84268544.

The previous prime is 252805999. The next prime is 252806033. The reversal of 252806016 is 610608252.

It is an interprime number because it is at equal distance from previous prime (252805999) and next prime (252806033).

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 328791 + ... + 329558.

Almost surely, 2252806016 is an apocalyptic number.

It is an amenable number.

252806016 is an abundant number, since it is smaller than the sum of its proper divisors (418710984).

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

252806016 is an equidigital number, since it uses as much as digits as its factorization.

252806016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658366 (or 658354 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 252806016 is about 15899.8747164875. The cubic root of 252806016 is about 632.3086672544.

The spelling of 252806016 in words is "two hundred fifty-two million, eight hundred six thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 658349 1316698 1975047 2633396 3950094 5266792 7900188 10533584 15800376 21067168 31600752 42134336 63201504 84268672 126403008 252806016