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52723872 = 253420341
BaseRepresentation
bin1100100100100…
…0000010100000
310200012122120000
43021020002200
5101444130442
65122020000
71210100625
oct311100240
9120178500
1052723872
1127841253
12157a7600
13ac00176
14700634c
154966d4c
hex32480a0

52723872 has 60 divisors (see below), whose sum is σ = 155067066. Its totient is φ = 17573760.

The previous prime is 52723871. The next prime is 52723877. The reversal of 52723872 is 27832725.

It is a happy number.

52723872 is a `hidden beast` number, since 5 + 272 + 387 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 42458256 + 10265616 = 6516^2 + 3204^2 .

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

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (52723871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 7579 + ... + 12762.

Almost surely, 252723872 is an apocalyptic number.

It is an amenable number.

52723872 is an abundant number, since it is smaller than the sum of its proper divisors (102343194).

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

52723872 is a wasteful number, since it uses less digits than its factorization.

52723872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20363 (or 20346 counting only the distinct ones).

The product of its digits is 47040, while the sum is 36.

The square root of 52723872 is about 7261.1205746772. The cubic root of 52723872 is about 374.9751023470.

The spelling of 52723872 in words is "fifty-two million, seven hundred twenty-three thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 20341 40682 61023 81364 122046 162728 183069 244092 325456 366138 488184 549207 650912 732276 976368 1098414 1464552 1647621 1952736 2196828 2929104 3295242 4393656 5858208 6590484 8787312 13180968 17574624 26361936 52723872