Search a number
-
+
164450524 = 22752111273
BaseRepresentation
bin10011100110101…
…01000011011100
3102110102221201011
421303111003130
5314044404044
624152425004
74034543410
oct1163250334
9373387634
10164450524
1184912127
12470a8164
13280bb404
1417baad40
15e686134
hex9cd50dc

164450524 has 24 divisors (see below), whose sum is σ = 329561568. Its totient is φ = 70337280.

The previous prime is 164450519. The next prime is 164450527. The reversal of 164450524 is 425054461.

It is a happy number.

164450524 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164450527) 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, 8952 + ... + 20224.

It is an arithmetic number, because the mean of its divisors is an integer number (13731732).

Almost surely, 2164450524 is an apocalyptic number.

164450524 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

164450524 is an abundant number, since it is smaller than the sum of its proper divisors (165111044).

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

164450524 is a wasteful number, since it uses less digits than its factorization.

164450524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11805 (or 11803 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 31.

The square root of 164450524 is about 12823.8264180392. The cubic root of 164450524 is about 547.8711358067.

The spelling of 164450524 in words is "one hundred sixty-four million, four hundred fifty thousand, five hundred twenty-four".

Divisors: 1 2 4 7 14 28 521 1042 2084 3647 7294 11273 14588 22546 45092 78911 157822 315644 5873233 11746466 23492932 41112631 82225262 164450524