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52516638 = 23217732351
BaseRepresentation
bin1100100001010…
…1011100011110
310122211010021200
43020111130132
5101421013023
65113340330
71205245506
oct310253436
9118733250
1052516638
112770a589
12157076a6
13ab59a45
146d90a06
154925743
hex321571e

52516638 has 48 divisors (see below), whose sum is σ = 122181696. Its totient is φ = 16243200.

The previous prime is 52516591. The next prime is 52516643. The reversal of 52516638 is 83661525.

52516638 is a `hidden beast` number, since 5 + 2 + 5 + 16 + 638 = 666.

52516638 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 21163 + ... + 23513.

It is an arithmetic number, because the mean of its divisors is an integer number (2545452).

Almost surely, 252516638 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52516638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61090848).

52516638 is an abundant number, since it is smaller than the sum of its proper divisors (69665058).

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

52516638 is a wasteful number, since it uses less digits than its factorization.

52516638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2449 (or 2446 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 52516638 is about 7246.8364132220. The cubic root of 52516638 is about 374.4831706938.

The spelling of 52516638 in words is "fifty-two million, five hundred sixteen thousand, six hundred thirty-eight".

Divisors: 1 2 3 6 9 17 18 34 51 73 102 146 153 219 306 438 657 1241 1314 2351 2482 3723 4702 7053 7446 11169 14106 21159 22338 39967 42318 79934 119901 171623 239802 343246 359703 514869 719406 1029738 1544607 2917591 3089214 5835182 8752773 17505546 26258319 52516638