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925679664 = 243471347167
BaseRepresentation
bin110111001011001…
…100000000110000
32101111211101210000
4313023030000300
53343433222124
6231504310000
731640101350
oct6713140060
92344741700
10925679664
11435581918
1221a012300
13119a18060
148ad22b60
15564006c9
hex372cc030

925679664 has 400 divisors, whose sum is σ = 3387783168. Its totient is φ = 237510144.

The previous prime is 925679663. The next prime is 925679669. The reversal of 925679664 is 466976529.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 925679664.

It is not an unprimeable number, because it can be changed into a prime (925679663) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5542909 + ... + 5543075.

Almost surely, 2925679664 is an apocalyptic number.

925679664 is a gapful number since it is divisible by the number (94) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 925679664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1693891584).

925679664 is an abundant number, since it is smaller than the sum of its proper divisors (2462103504).

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

925679664 is a wasteful number, since it uses less digits than its factorization.

925679664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 239 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 54.

The square root of 925679664 is about 30424.9842070625. The cubic root of 925679664 is about 974.5861628339.

The spelling of 925679664 in words is "nine hundred twenty-five million, six hundred seventy-nine thousand, six hundred sixty-four".