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164444952 = 2337978839
BaseRepresentation
bin10011100110100…
…11101100011000
3102110102200001210
421303103230120
5314044214302
624152343120
74034521230
oct1163235430
9373380053
10164444952
1184908a21
12470a4aa0
13280b8a09
1417ba8cc0
15e68466c
hex9cd3b18

164444952 has 32 divisors (see below), whose sum is σ = 469843200. Its totient is φ = 46984224.

The previous prime is 164444947. The next prime is 164444953. The reversal of 164444952 is 259444461.

164444952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 164444952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164444953) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 489252 + ... + 489587.

It is an arithmetic number, because the mean of its divisors is an integer number (14682600).

Almost surely, 2164444952 is an apocalyptic number.

164444952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

164444952 is an abundant number, since it is smaller than the sum of its proper divisors (305398248).

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

164444952 is a wasteful number, since it uses less digits than its factorization.

164444952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 978855 (or 978851 counting only the distinct ones).

The product of its digits is 138240, while the sum is 39.

The square root of 164444952 is about 12823.6091643499. The cubic root of 164444952 is about 547.8649479832.

The spelling of 164444952 in words is "one hundred sixty-four million, four hundred forty-four thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 978839 1957678 2936517 3915356 5873034 6851873 7830712 11746068 13703746 20555619 23492136 27407492 41111238 54814984 82222476 164444952