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52723008 = 2633132347
BaseRepresentation
bin1100100100011…
…1110101000000
310200012121101000
43021013311000
5101444114013
65122012000
71210065252
oct311076500
9120177330
1052723008
1127840638
12157a7000
13abcc960
147005cd2
154966973
hex3247d40

52723008 has 112 divisors (see below), whose sum is σ = 166989760. Its totient is φ = 16215552.

The previous prime is 52722997. The next prime is 52723019. The reversal of 52723008 is 80032725.

It is an interprime number because it is at equal distance from previous prime (52722997) and next prime (52723019).

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

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 21291 + ... + 23637.

It is an arithmetic number, because the mean of its divisors is an integer number (1490980).

Almost surely, 252723008 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 52723008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83494880).

52723008 is an abundant number, since it is smaller than the sum of its proper divisors (114266752).

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

52723008 is a wasteful number, since it uses less digits than its factorization.

52723008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2381 (or 2365 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 52723008 is about 7261.0610794842. The cubic root of 52723008 is about 374.9730540638.

The spelling of 52723008 in words is "fifty-two million, seven hundred twenty-three thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 144 156 192 208 216 234 288 312 351 416 432 468 576 624 702 832 864 936 1248 1404 1728 1872 2347 2496 2808 3744 4694 5616 7041 7488 9388 11232 14082 18776 21123 22464 28164 30511 37552 42246 56328 61022 63369 75104 84492 91533 112656 122044 126738 150208 168984 183066 225312 244088 253476 274599 337968 366132 450624 488176 506952 549198 675936 732264 823797 976352 1013904 1098396 1351872 1464528 1647594 1952704 2027808 2196792 2929056 3295188 4055616 4393584 5858112 6590376 8787168 13180752 17574336 26361504 52723008