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52185588 = 22372136827
BaseRepresentation
bin1100011100010…
…0100111110100
310122012022011120
43013010213310
5101324414323
65102303540
71202366400
oct307044764
9118168146
1052185588
1127503894
1215587bb0
13aa72160
146d06100
1548ac5e3
hex31c49f4

52185588 has 72 divisors (see below), whose sum is σ = 152564832. Its totient is φ = 13761216.

The previous prime is 52185569. The next prime is 52185619. The reversal of 52185588 is 88558125.

52185588 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4231 + ... + 11057.

It is an arithmetic number, because the mean of its divisors is an integer number (2118956).

Almost surely, 252185588 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 52185588, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76282416).

52185588 is an abundant number, since it is smaller than the sum of its proper divisors (100379244).

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

52185588 is a wasteful number, since it uses less digits than its factorization.

52185588 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6861 (or 6852 counting only the distinct ones).

The product of its digits is 128000, while the sum is 42.

The square root of 52185588 is about 7223.9593022109. The cubic root of 52185588 is about 373.6946328725.

The spelling of 52185588 in words is "fifty-two million, one hundred eighty-five thousand, five hundred eighty-eight".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 49 52 78 84 91 98 147 156 182 196 273 294 364 546 588 637 1092 1274 1911 2548 3822 6827 7644 13654 20481 27308 40962 47789 81924 88751 95578 143367 177502 191156 266253 286734 334523 355004 532506 573468 621257 669046 1003569 1065012 1242514 1338092 1863771 2007138 2485028 3727542 4014276 4348799 7455084 8697598 13046397 17395196 26092794 52185588