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52831680 = 2635115003
BaseRepresentation
bin1100100110001…
…0010111000000
310200102010102220
43021202113000
5102011103210
65124211040
71211030136
oct311422700
9120363386
1052831680
1127905250
1215839a80
13ac3a265
147033756
154988c70
hex32625c0

52831680 has 112 divisors (see below), whose sum is σ = 183026304. Its totient is φ = 12805120.

The previous prime is 52831679. The next prime is 52831693. The reversal of 52831680 is 8613825.

It is a happy number.

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 15 ways as a sum of consecutive naturals, for example, 8059 + ... + 13061.

Almost surely, 252831680 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 52831680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91513152).

52831680 is an abundant number, since it is smaller than the sum of its proper divisors (130194624).

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

52831680 is a wasteful number, since it uses less digits than its factorization.

52831680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5034 (or 5024 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 52831680 is about 7268.5404312008. The cubic root of 52831680 is about 375.2305071704.

The spelling of 52831680 in words is "fifty-two million, eight hundred thirty-one thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 132 160 165 176 192 220 240 264 320 330 352 440 480 528 660 704 880 960 1056 1320 1760 2112 2640 3520 5003 5280 10006 10560 15009 20012 25015 30018 40024 50030 55033 60036 75045 80048 100060 110066 120072 150090 160096 165099 200120 220132 240144 275165 300180 320192 330198 400240 440264 480288 550330 600360 660396 800480 825495 880528 960576 1100660 1200720 1320792 1600960 1650990 1761056 2201320 2401440 2641584 3301980 3522112 4402640 4802880 5283168 6603960 8805280 10566336 13207920 17610560 26415840 52831680