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252038016 = 2732218783
BaseRepresentation
bin11110000010111…
…00101110000000
3122120020212011100
433001130232000
51004010204031
641002014400
76150200466
oct1701345600
9576225140
10252038016
1111a2a598a
12704a7400
13402a7229
142568a836
15171d7de6
hexf05cb80

252038016 has 48 divisors (see below), whose sum is σ = 725268960. Its totient is φ = 84012288.

The previous prime is 252038011. The next prime is 252038027. The reversal of 252038016 is 610830252.

252038016 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252038011) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 108240 + ... + 110543.

It is an arithmetic number, because the mean of its divisors is an integer number (15109770).

Almost surely, 2252038016 is an apocalyptic number.

It is an amenable number.

252038016 is an abundant number, since it is smaller than the sum of its proper divisors (473230944).

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

252038016 is a wasteful number, since it uses less digits than its factorization.

252038016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218803 (or 218788 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 252038016 is about 15875.7052126827. The cubic root of 252038016 is about 631.6677204340.

Adding to 252038016 its reverse (610830252), we get a palindrome (862868268).

The spelling of 252038016 in words is "two hundred fifty-two million, thirty-eight thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 218783 437566 656349 875132 1312698 1750264 1969047 2625396 3500528 3938094 5250792 7001056 7876188 10501584 14002112 15752376 21003168 28004224 31504752 42006336 63009504 84012672 126019008 252038016