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51330944 = 27759971
BaseRepresentation
bin1100001111001…
…1111110000000
310120120212211002
43003303332000
5101120042234
65032111132
71162206620
oct303637600
9116525732
1051330944
1126a7a775
12152354a8
13a833152
146b62880
15478e27e
hex30f3f80

51330944 has 64 divisors (see below), whose sum is σ = 118972800. Its totient is φ = 21603840.

The previous prime is 51330943. The next prime is 51330959. The reversal of 51330944 is 44903315.

51330944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×513309442 = 5269731623862272, which contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51330943) 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 7 ways as a sum of consecutive naturals, for example, 52379 + ... + 53349.

It is an arithmetic number, because the mean of its divisors is an integer number (1858950).

Almost surely, 251330944 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 51330944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59486400).

51330944 is an abundant number, since it is smaller than the sum of its proper divisors (67641856).

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

51330944 is an equidigital number, since it uses as much as digits as its factorization.

51330944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1051 (or 1039 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 29.

The square root of 51330944 is about 7164.5616753574. The cubic root of 51330944 is about 371.6433935660.

The spelling of 51330944 in words is "fifty-one million, three hundred thirty thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 59 64 112 118 128 224 236 413 448 472 826 896 944 971 1652 1888 1942 3304 3776 3884 6608 6797 7552 7768 13216 13594 15536 26432 27188 31072 52864 54376 57289 62144 108752 114578 124288 217504 229156 401023 435008 458312 802046 870016 916624 1604092 1833248 3208184 3666496 6416368 7332992 12832736 25665472 51330944