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52790304 = 2537174621
BaseRepresentation
bin1100100101100…
…0010000100000
310200100000200110
43021120100200
5102003242204
65123251320
71210465410
oct311302040
9120300613
1052790304
1127887156
1215819b40
13ac24488
147022640
15497b889
hex3258420

52790304 has 96 divisors (see below), whose sum is σ = 167723136. Its totient is φ = 14192640.

The previous prime is 52790291. The next prime is 52790333. The reversal of 52790304 is 40309725.

It is a tau number, because it is divible by the number of its divisors (96).

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, 9114 + ... + 13734.

It is an arithmetic number, because the mean of its divisors is an integer number (1747116).

Almost surely, 252790304 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 52790304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83861568).

52790304 is an abundant number, since it is smaller than the sum of its proper divisors (114932832).

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

52790304 is a wasteful number, since it uses less digits than its factorization.

52790304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4658 (or 4650 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 52790304 is about 7265.6936351597. The cubic root of 52790304 is about 375.1325256042.

The spelling of 52790304 in words is "fifty-two million, seven hundred ninety thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 68 84 96 102 112 119 136 168 204 224 238 272 336 357 408 476 544 672 714 816 952 1428 1632 1904 2856 3808 4621 5712 9242 11424 13863 18484 27726 32347 36968 55452 64694 73936 78557 97041 110904 129388 147872 157114 194082 221808 235671 258776 314228 388164 443616 471342 517552 549899 628456 776328 942684 1035104 1099798 1256912 1552656 1649697 1885368 2199596 2513824 3105312 3299394 3770736 4399192 6598788 7541472 8798384 13197576 17596768 26395152 52790304