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164423052 = 223243110597
BaseRepresentation
bin10011100110011…
…10010110001100
3102110101120000200
421303032112030
5314043014202
624152053500
74034400333
oct1163162614
9373346020
10164423052
11848a3522
1247094290
13280aba61
1417ba0d1a
15e67ce1c
hex9cce58c

164423052 has 36 divisors (see below), whose sum is σ = 416628576. Its totient is φ = 54675360.

The previous prime is 164423047. The next prime is 164423057. The reversal of 164423052 is 250324461.

164423052 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (164423047) and next prime (164423057).

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

It is a super-3 number, since 3×1644230523 (a number of 26 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (164423057) 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, 10218 + ... + 20814.

It is an arithmetic number, because the mean of its divisors is an integer number (11573016).

Almost surely, 2164423052 is an apocalyptic number.

164423052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

164423052 is an abundant number, since it is smaller than the sum of its proper divisors (252205524).

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

164423052 is a wasteful number, since it uses less digits than its factorization.

164423052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11038 (or 11033 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 164423052 is about 12822.7552421467. The cubic root of 164423052 is about 547.8406262170.

The spelling of 164423052 in words is "one hundred sixty-four million, four hundred twenty-three thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 431 862 1293 1724 2586 3879 5172 7758 10597 15516 21194 31791 42388 63582 95373 127164 190746 381492 4567307 9134614 13701921 18269228 27403842 41105763 54807684 82211526 164423052