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164335056 = 24317375443
BaseRepresentation
bin10011100101110…
…00110111010000
3102110020002022120
421302320313100
5314032210211
624150134240
74033552644
oct1162706720
9373202276
10164335056
11848433a6
1247051380
132807a9a2
1417b7ac24
15e661d06
hex9cb8dd0

164335056 has 80 divisors (see below), whose sum is σ = 461738304. Its totient is φ = 50153472.

The previous prime is 164335043. The next prime is 164335081. The reversal of 164335056 is 650533461.

164335056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27471 + ... + 32913.

Almost surely, 2164335056 is an apocalyptic number.

164335056 is a gapful number since it is divisible by the number (16) 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 164335056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230869152).

164335056 is an abundant number, since it is smaller than the sum of its proper divisors (297403248).

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

164335056 is a wasteful number, since it uses less digits than its factorization.

164335056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5508 (or 5502 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 33.

The square root of 164335056 is about 12819.3235390952. The cubic root of 164335056 is about 547.7428775829.

The spelling of 164335056 in words is "one hundred sixty-four million, three hundred thirty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 37 48 51 68 74 102 111 136 148 204 222 272 296 408 444 592 629 816 888 1258 1776 1887 2516 3774 5032 5443 7548 10064 10886 15096 16329 21772 30192 32658 43544 65316 87088 92531 130632 185062 201391 261264 277593 370124 402782 555186 604173 740248 805564 1110372 1208346 1480496 1611128 2220744 2416692 3222256 3423647 4441488 4833384 6847294 9666768 10270941 13694588 20541882 27389176 41083764 54778352 82167528 164335056