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52648650 = 2335259661
BaseRepresentation
bin1100100011010…
…1101011001010
310200001211101000
43020311223022
5101434224100
65120235430
71206335415
oct310655312
9120054330
1052648650
112779a78a
121576bb76
13aba4b62
146dc6b7c
15494e900
hex3235aca

52648650 has 96 divisors (see below), whose sum is σ = 147758400. Its totient is φ = 13780800.

The previous prime is 52648627. The next prime is 52648691. The reversal of 52648650 is 5684625.

52648650 is a `hidden beast` number, since 5 + 2 + 648 + 6 + 5 + 0 = 666.

52648650 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79320 + ... + 79980.

It is an arithmetic number, because the mean of its divisors is an integer number (1539150).

Almost surely, 252648650 is an apocalyptic number.

52648650 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 52648650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73879200).

52648650 is an abundant number, since it is smaller than the sum of its proper divisors (95109750).

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

52648650 is a wasteful number, since it uses less digits than its factorization.

52648650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 52648650 is about 7255.9389468214. The cubic root of 52648650 is about 374.7966897931.

The spelling of 52648650 in words is "fifty-two million, six hundred forty-eight thousand, six hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 59 75 90 118 135 150 177 225 270 295 354 450 531 590 661 675 885 1062 1322 1350 1475 1593 1770 1983 2655 2950 3186 3305 3966 4425 5310 5949 6610 7965 8850 9915 11898 13275 15930 16525 17847 19830 26550 29745 33050 35694 38999 39825 49575 59490 77998 79650 89235 99150 116997 148725 178470 194995 233994 297450 350991 389990 446175 584985 701982 892350 974975 1052973 1169970 1754955 1949950 2105946 2924925 3509910 5264865 5849850 8774775 10529730 17549550 26324325 52648650