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52379824 = 247271941
BaseRepresentation
bin1100011111010…
…0000010110000
310122120011121111
43013310002300
5101402123244
65110403104
71204135600
oct307640260
9118504544
1052379824
1127626812
1215660494
13ab0c6a3
146d56c00
1548e9e34
hex31f40b0

52379824 has 60 divisors (see below), whose sum is σ = 119845008. Its totient is φ = 22108800.

The previous prime is 52379819. The next prime is 52379843. The reversal of 52379824 is 42897325.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55194 + ... + 56134.

Almost surely, 252379824 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 52379824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59922504).

52379824 is an abundant number, since it is smaller than the sum of its proper divisors (67465184).

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

52379824 is a wasteful number, since it uses less digits than its factorization.

52379824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1034 (or 1021 counting only the distinct ones).

The product of its digits is 120960, while the sum is 40.

The square root of 52379824 is about 7237.3906900208. The cubic root of 52379824 is about 374.1576922786.

The spelling of 52379824 in words is "fifty-two million, three hundred seventy-nine thousand, eight hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 71 98 112 142 196 284 392 497 568 784 941 994 1136 1882 1988 3479 3764 3976 6587 6958 7528 7952 13174 13916 15056 26348 27832 46109 52696 55664 66811 92218 105392 133622 184436 267244 368872 467677 534488 737744 935354 1068976 1870708 3273739 3741416 6547478 7482832 13094956 26189912 52379824