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155653152 = 25313112377
BaseRepresentation
bin10010100011100…
…01010000100000
3101211212222222120
421101301100200
5304321400102
623240104240
73600013164
oct1121612040
9354788876
10155653152
117a953576
1244165080
132632b075
141695aca4
15d9e96bc
hex9471420

155653152 has 48 divisors (see below), whose sum is σ = 411741792. Its totient is φ = 51484160.

The previous prime is 155653129. The next prime is 155653153. The reversal of 155653152 is 251356551.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (155653153) 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, 6388 + ... + 18764.

It is an arithmetic number, because the mean of its divisors is an integer number (8577954).

Almost surely, 2155653152 is an apocalyptic number.

155653152 is a gapful number since it is divisible by the number (12) 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 155653152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205870896).

155653152 is an abundant number, since it is smaller than the sum of its proper divisors (256088640).

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

155653152 is a wasteful number, since it uses less digits than its factorization.

155653152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12521 (or 12513 counting only the distinct ones).

The product of its digits is 22500, while the sum is 33.

The square root of 155653152 is about 12476.1032377902. The cubic root of 155653152 is about 537.9220000886.

The spelling of 155653152 in words is "one hundred fifty-five million, six hundred fifty-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 131 262 393 524 786 1048 1572 2096 3144 4192 6288 12377 12576 24754 37131 49508 74262 99016 148524 198032 297048 396064 594096 1188192 1621387 3242774 4864161 6485548 9728322 12971096 19456644 25942192 38913288 51884384 77826576 155653152