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5327904 = 2531923127
BaseRepresentation
bin10100010100110000100000
3101000200111210
4110110300200
52330443104
6310110120
763200151
oct24246040
911020453
105327904
113009a2a
12194b340
13114710a
149c9928
15703989
hex514c20

5327904 has 96 divisors (see below), whose sum is σ = 15482880. Its totient is φ = 1596672.

The previous prime is 5327899. The next prime is 5327929. The reversal of 5327904 is 4097235.

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

It is a super-2 number, since 2×53279042 = 56773122066432, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is an Ulam number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41889 + ... + 42015.

It is an arithmetic number, because the mean of its divisors is an integer number (161280).

Almost surely, 25327904 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 5327904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7741440).

5327904 is an abundant number, since it is smaller than the sum of its proper divisors (10154976).

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

5327904 is a wasteful number, since it uses less digits than its factorization.

5327904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 174 counting only the distinct ones).

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

The square root of 5327904 is about 2308.2252922971. The cubic root of 5327904 is about 174.6567858236.

The spelling of 5327904 in words is "five million, three hundred twenty-seven thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 16 19 23 24 32 38 46 48 57 69 76 92 96 114 127 138 152 184 228 254 276 304 368 381 437 456 508 552 608 736 762 874 912 1016 1104 1311 1524 1748 1824 2032 2208 2413 2622 2921 3048 3496 4064 4826 5244 5842 6096 6992 7239 8763 9652 10488 11684 12192 13984 14478 17526 19304 20976 23368 28956 35052 38608 41952 46736 55499 57912 70104 77216 93472 110998 115824 140208 166497 221996 231648 280416 332994 443992 665988 887984 1331976 1775968 2663952 5327904