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252076788 = 223222930577
BaseRepresentation
bin11110000011001…
…10001011110100
3122120022211100100
433001212023310
51004012424123
641002514100
76150421515
oct1701461364
9576284310
10252076788
1111a322027
1270505930
13402bba82
142569aa0c
15171e4643
hexf0662f4

252076788 has 36 divisors (see below), whose sum is σ = 639997540. Its totient is φ = 83655936.

The previous prime is 252076777. The next prime is 252076789. The reversal of 252076788 is 887670252.

252076788 is digitally balanced in base 2, base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 171400464 + 80676324 = 13092^2 + 8982^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

252076788 is strictly pandigital in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252076789) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7045 + ... + 23532.

Almost surely, 2252076788 is an apocalyptic number.

It is an amenable number.

252076788 is an abundant number, since it is smaller than the sum of its proper divisors (387920752).

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

252076788 is a wasteful number, since it uses less digits than its factorization.

252076788 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30816 (or 30811 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 252076788 is about 15876.9262768333. The cubic root of 252076788 is about 631.7001094171.

The spelling of 252076788 in words is "two hundred fifty-two million, seventy-six thousand, seven hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 229 458 687 916 1374 2061 2748 4122 8244 30577 61154 91731 122308 183462 275193 366924 550386 1100772 7002133 14004266 21006399 28008532 42012798 63019197 84025596 126038394 252076788