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52523136 = 2732127359
BaseRepresentation
bin1100100001011…
…1000010000000
310122211110012100
43020113002000
5101421220021
65113430400
71205303451
oct310270200
9118743170
1052523136
1127714456
121570b400
13ab5c9a3
146d93128
154927626
hex3217080

52523136 has 96 divisors (see below), whose sum is σ = 152755200. Its totient is φ = 17321472.

The previous prime is 52523129. The next prime is 52523137. The reversal of 52523136 is 63132525.

52523136 is a `hidden beast` number, since 5 + 2 + 523 + 136 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (52523137) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 146125 + ... + 146483.

It is an arithmetic number, because the mean of its divisors is an integer number (1591200).

Almost surely, 252523136 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 52523136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76377600).

52523136 is an abundant number, since it is smaller than the sum of its proper divisors (100232064).

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

52523136 is a wasteful number, since it uses less digits than its factorization.

52523136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 491 counting only the distinct ones).

The product of its digits is 5400, while the sum is 27.

The square root of 52523136 is about 7247.2847329189. The cubic root of 52523136 is about 374.4986152677.

The spelling of 52523136 in words is "fifty-two million, five hundred twenty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 127 128 144 192 254 288 359 381 384 508 576 718 762 1016 1077 1143 1152 1436 1524 2032 2154 2286 2872 3048 3231 4064 4308 4572 5744 6096 6462 8128 8616 9144 11488 12192 12924 16256 17232 18288 22976 24384 25848 34464 36576 45593 45952 48768 51696 68928 73152 91186 103392 136779 137856 146304 182372 206784 273558 364744 410337 413568 547116 729488 820674 1094232 1458976 1641348 2188464 2917952 3282696 4376928 5835904 6565392 8753856 13130784 17507712 26261568 52523136