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52136136 = 2335132063
BaseRepresentation
bin1100011011100…
…0100011001000
310122002210100000
43012320203020
5101321324021
65101243000
71202102253
oct306704310
9118083300
1052136136
112747a718
1215563460
13aa557b0
146cd209a
15489cb26
hex31b88c8

52136136 has 96 divisors (see below), whose sum is σ = 157772160. Its totient is φ = 16034112.

The previous prime is 52136131. The next prime is 52136137. The reversal of 52136136 is 63163125.

52136136 is a `hidden beast` number, since 521 + 3 + 6 + 136 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (52136131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24241 + ... + 26303.

It is an arithmetic number, because the mean of its divisors is an integer number (1643460).

Almost surely, 252136136 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 52136136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78886080).

52136136 is an abundant number, since it is smaller than the sum of its proper divisors (105636024).

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

52136136 is a wasteful number, since it uses less digits than its factorization.

52136136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2097 (or 2081 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The square root of 52136136 is about 7220.5357141974. The cubic root of 52136136 is about 373.5765556531.

The spelling of 52136136 in words is "fifty-two million, one hundred thirty-six thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 216 234 243 312 324 351 468 486 648 702 936 972 1053 1404 1944 2063 2106 2808 3159 4126 4212 6189 6318 8252 8424 12378 12636 16504 18567 24756 25272 26819 37134 49512 53638 55701 74268 80457 107276 111402 148536 160914 167103 214552 222804 241371 321828 334206 445608 482742 501309 643656 668412 724113 965484 1002618 1336824 1448226 1930968 2005236 2172339 2896452 4010472 4344678 5792904 6517017 8689356 13034034 17378712 26068068 52136136