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52756440 = 233511172351
BaseRepresentation
bin1100100100111…
…1111111011000
310200021022020020
43021033333120
5102001201230
65122430440
71210264602
oct311177730
9120238206
1052756440
1127863770
1215802420
13ac11c39
147014172
154971810
hex324ffd8

52756440 has 128 divisors (see below), whose sum is σ = 182891520. Its totient is φ = 12032000.

The previous prime is 52756439. The next prime is 52756453. The reversal of 52756440 is 4465725.

It is a super-2 number, since 2×527564402 = 5566483922947200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21265 + ... + 23615.

It is an arithmetic number, because the mean of its divisors is an integer number (1428840).

Almost surely, 252756440 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 52756440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91445760).

52756440 is an abundant number, since it is smaller than the sum of its proper divisors (130135080).

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

52756440 is a wasteful number, since it uses less digits than its factorization.

52756440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2393 (or 2389 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 33.

The square root of 52756440 is about 7263.3628575199. The cubic root of 52756440 is about 375.0522949292.

The spelling of 52756440 in words is "fifty-two million, seven hundred fifty-six thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 17 20 22 24 30 33 34 40 44 51 55 60 66 68 85 88 102 110 120 132 136 165 170 187 204 220 255 264 330 340 374 408 440 510 561 660 680 748 935 1020 1122 1320 1496 1870 2040 2244 2351 2805 3740 4488 4702 5610 7053 7480 9404 11220 11755 14106 18808 22440 23510 25861 28212 35265 39967 47020 51722 56424 70530 77583 79934 94040 103444 119901 129305 141060 155166 159868 199835 206888 239802 258610 282120 310332 319736 387915 399670 439637 479604 517220 599505 620664 775830 799340 879274 959208 1034440 1199010 1318911 1551660 1598680 1758548 2198185 2398020 2637822 3103320 3517096 4396370 4796040 5275644 6594555 8792740 10551288 13189110 17585480 26378220 52756440