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164315456 = 266142089
BaseRepresentation
bin10011100101101…
…00000101000000
3102110012002102122
421302310011000
5314031043311
624145503412
74033441544
oct1162640500
9373162378
10164315456
118482a6a8
1247041b68
1328071aa6
1417b73a24
15e65b0db
hex9cb4140

164315456 has 28 divisors (see below), whose sum is σ = 331416660. Its totient is φ = 80808960.

The previous prime is 164315443. The next prime is 164315467. The reversal of 164315456 is 654513461.

164315456 is digitally balanced in base 3, because in such base 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 90630400 + 73685056 = 9520^2 + 8584^2 .

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, 17141 + ... + 24948.

Almost surely, 2164315456 is an apocalyptic number.

164315456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

164315456 is an abundant number, since it is smaller than the sum of its proper divisors (167101204).

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

164315456 is an equidigital number, since it uses as much as digits as its factorization.

164315456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42162 (or 42152 counting only the distinct ones).

The product of its digits is 43200, while the sum is 35.

The square root of 164315456 is about 12818.5590453842. The cubic root of 164315456 is about 547.7211005551.

The spelling of 164315456 in words is "one hundred sixty-four million, three hundred fifteen thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 32 61 64 122 244 488 976 1952 3904 42089 84178 168356 336712 673424 1346848 2567429 2693696 5134858 10269716 20539432 41078864 82157728 164315456