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153055656 = 23341318169
BaseRepresentation
bin10010001111101…
…11000110101000
3101200000000220000
421013313012220
5303140240111
623104303000
73535644255
oct1107670650
9350000800
10153055656
1179439a86
1243311a60
132592b9a0
141648242c
15d684c56
hex91f71a8

153055656 has 80 divisors (see below), whose sum is σ = 461699700. Its totient is φ = 47091456.

The previous prime is 153055633. The next prime is 153055663. The reversal of 153055656 is 656550351.

153055656 is a `hidden beast` number, since 1 + 53 + 0 + 556 + 56 = 666.

153055656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 130644900 + 22410756 = 11430^2 + 4734^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 153055656.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 661 + ... + 17508.

Almost surely, 2153055656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153055656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230849850).

153055656 is an abundant number, since it is smaller than the sum of its proper divisors (308644044).

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

153055656 is a wasteful number, since it uses less digits than its factorization.

153055656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18200 (or 18187 counting only the distinct ones).

The product of its (nonzero) digits is 67500, while the sum is 36.

The square root of 153055656 is about 12371.5664327522. The cubic root of 153055656 is about 534.9129692186.

The spelling of 153055656 in words is "one hundred fifty-three million, fifty-five thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 216 234 312 324 351 468 648 702 936 1053 1404 2106 2808 4212 8424 18169 36338 54507 72676 109014 145352 163521 218028 236197 327042 436056 472394 490563 654084 708591 944788 981126 1308168 1417182 1471689 1889576 1962252 2125773 2834364 2943378 3924504 4251546 5668728 5886756 6377319 8503092 11773512 12754638 17006184 19131957 25509276 38263914 51018552 76527828 153055656