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250664328 = 23331676949
BaseRepresentation
bin11101111000011…
…01010110001000
3122110200001211000
432330031112020
51003132224303
640512335000
76132416535
oct1674152610
9573601730
10250664328
11119547902
126bb44460
133cc15bb5
142540dd8c
1517015da3
hexef0d588

250664328 has 64 divisors (see below), whose sum is σ = 700560000. Its totient is φ = 83042496.

The previous prime is 250664287. The next prime is 250664333. The reversal of 250664328 is 823466052.

250664328 is a `hidden beast` number, since 2 + 5 + 0 + 6 + 643 + 2 + 8 = 666.

250664328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 250664292 and 250664301.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32598 + ... + 39546.

It is an arithmetic number, because the mean of its divisors is an integer number (10946250).

Almost surely, 2250664328 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 250664328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350280000).

250664328 is an abundant number, since it is smaller than the sum of its proper divisors (449895672).

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

250664328 is a wasteful number, since it uses less digits than its factorization.

250664328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7131 (or 7121 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 250664328 is about 15832.3822591548. The cubic root of 250664328 is about 630.5180319694.

The spelling of 250664328 in words is "two hundred fifty million, six hundred sixty-four thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 167 216 334 501 668 1002 1336 1503 2004 3006 4008 4509 6012 6949 9018 12024 13898 18036 20847 27796 36072 41694 55592 62541 83388 125082 166776 187623 250164 375246 500328 750492 1160483 1500984 2320966 3481449 4641932 6962898 9283864 10444347 13925796 20888694 27851592 31333041 41777388 62666082 83554776 125332164 250664328