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5423264 = 257113171
BaseRepresentation
bin10100101100000010100000
3101012112022122
4110230002200
52342021024
6312123412
764045160
oct24540240
911175278
105423264
113074640
121996568
13117b642
14a125a0
15721d5e
hex52c0a0

5423264 has 96 divisors (see below), whose sum is σ = 13934592. Its totient is φ = 2016000.

The previous prime is 5423237. The next prime is 5423267. The reversal of 5423264 is 4623245.

It is not an unprimeable number, because it can be changed into a prime (5423267) by changing a digit.

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, 76349 + ... + 76419.

It is an arithmetic number, because the mean of its divisors is an integer number (145152).

Almost surely, 25423264 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 5423264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6967296).

5423264 is an abundant number, since it is smaller than the sum of its proper divisors (8511328).

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

5423264 is a wasteful number, since it uses less digits than its factorization.

5423264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 122 counting only the distinct ones).

The product of its digits is 5760, while the sum is 26.

The square root of 5423264 is about 2328.7902438820. The cubic root of 5423264 is about 175.6926453871.

The spelling of 5423264 in words is "five million, four hundred twenty-three thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 31 32 44 56 62 71 77 88 112 124 142 154 176 217 224 248 284 308 341 352 434 496 497 568 616 682 781 868 992 994 1136 1232 1364 1562 1736 1988 2201 2272 2387 2464 2728 3124 3472 3976 4402 4774 5456 5467 6248 6944 7952 8804 9548 10912 10934 12496 15407 15904 17608 19096 21868 24211 24992 30814 35216 38192 43736 48422 61628 70432 76384 87472 96844 123256 169477 174944 193688 246512 338954 387376 493024 677908 774752 1355816 2711632 5423264