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52000938 = 232111811451
BaseRepresentation
bin1100011001011…
…1100010101010
310121211220212200
43012113202222
5101303012223
65054321030
71201000143
oct306274252
9117756780
1052000938
1127398090
12154b9176
13aa090b2
146c98aca
154872a43
hex31978aa

52000938 has 48 divisors (see below), whose sum is σ = 123675552. Its totient is φ = 15660000.

The previous prime is 52000937. The next prime is 52000939. The reversal of 52000938 is 83900025.

52000938 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (52000937) and next prime (52000939).

It is not an unprimeable number, because it can be changed into a prime (52000937) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 35113 + ... + 36563.

It is an arithmetic number, because the mean of its divisors is an integer number (2576574).

Almost surely, 252000938 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52000938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61837776).

52000938 is an abundant number, since it is smaller than the sum of its proper divisors (71674614).

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

52000938 is a wasteful number, since it uses less digits than its factorization.

52000938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1651 (or 1648 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 52000938 is about 7211.1675892327. The cubic root of 52000938 is about 373.2533599602.

The spelling of 52000938 in words is "fifty-two million, nine hundred thirty-eight", and thus it is an aban number.

Divisors: 1 2 3 6 9 11 18 22 33 66 99 181 198 362 543 1086 1451 1629 1991 2902 3258 3982 4353 5973 8706 11946 13059 15961 17919 26118 31922 35838 47883 95766 143649 262631 287298 525262 787893 1575786 2363679 2888941 4727358 5777882 8666823 17333646 26000469 52000938