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52006656 = 283135209
BaseRepresentation
bin1100011001100…
…0111100000000
310121212012201110
43012120330000
5101303203111
65054403320
71201022622
oct306307400
9117765643
1052006656
11273a1409
1215500540
13aa0b890
146c9ac12
1548745a6
hex3198f00

52006656 has 72 divisors (see below), whose sum is σ = 149089360. Its totient is φ = 15998976.

The previous prime is 52006631. The next prime is 52006663. The reversal of 52006656 is 65660025.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7380 + ... + 12588.

Almost surely, 252006656 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 52006656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74544680).

52006656 is an abundant number, since it is smaller than the sum of its proper divisors (97082704).

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

52006656 is a wasteful number, since it uses less digits than its factorization.

52006656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5241 (or 5227 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 52006656 is about 7211.5640467238. The cubic root of 52006656 is about 373.2670403832.

The spelling of 52006656 in words is "fifty-two million, six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 624 768 832 1248 1664 2496 3328 4992 5209 9984 10418 15627 20836 31254 41672 62508 67717 83344 125016 135434 166688 203151 250032 270868 333376 406302 500064 541736 666752 812604 1000128 1083472 1333504 1625208 2000256 2166944 3250416 4000512 4333888 6500832 8667776 13001664 17335552 26003328 52006656