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52760760 = 233513311091
BaseRepresentation
bin1100100101000…
…1000010111000
310200021112011020
43021101002320
5102001321020
65122502440
71210313313
oct311210270
9120245136
1052760760
1127866a38
1215804a20
13ac13bb0
14701597a
154972c40
hex32510b8

52760760 has 128 divisors (see below), whose sum is σ = 176117760. Its totient is φ = 12556800.

The previous prime is 52760749. The next prime is 52760797. The reversal of 52760760 is 6706725.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

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, 47815 + ... + 48905.

It is an arithmetic number, because the mean of its divisors is an integer number (1375920).

Almost surely, 252760760 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 52760760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88058880).

52760760 is an abundant number, since it is smaller than the sum of its proper divisors (123357000).

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

52760760 is a wasteful number, since it uses less digits than its factorization.

52760760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1149 (or 1145 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 33.

The square root of 52760760 is about 7263.6602343447. The cubic root of 52760760 is about 375.0625317944.

The spelling of 52760760 in words is "fifty-two million, seven hundred sixty thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 31 39 40 52 60 62 65 78 93 104 120 124 130 155 156 186 195 248 260 310 312 372 390 403 465 520 620 744 780 806 930 1091 1209 1240 1560 1612 1860 2015 2182 2418 3224 3273 3720 4030 4364 4836 5455 6045 6546 8060 8728 9672 10910 12090 13092 14183 16120 16365 21820 24180 26184 28366 32730 33821 42549 43640 48360 56732 65460 67642 70915 85098 101463 113464 130920 135284 141830 169105 170196 202926 212745 270568 283660 338210 340392 405852 425490 439673 507315 567320 676420 811704 850980 879346 1014630 1319019 1352840 1701960 1758692 2029260 2198365 2638038 3517384 4058520 4396730 5276076 6595095 8793460 10552152 13190190 17586920 26380380 52760760