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5059264 = 26723491
BaseRepresentation
bin10011010011001011000000
3100112001000011
4103103023000
52243344024
6300234304
761001020
oct23231300
910461004
105059264
112946111
12183b994
131081a62
14959a80
1569e094
hex4d32c0

5059264 has 56 divisors (see below), whose sum is σ = 11996928. Its totient is φ = 2069760.

The previous prime is 5059261. The next prime is 5059283. The reversal of 5059264 is 4629505.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5059261) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10059 + ... + 10549.

Almost surely, 25059264 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 5059264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5998464).

5059264 is an abundant number, since it is smaller than the sum of its proper divisors (6937664).

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

5059264 is a wasteful number, since it uses less digits than its factorization.

5059264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 31.

The square root of 5059264 is about 2249.2807739364. The cubic root of 5059264 is about 171.6705429524.

The spelling of 5059264 in words is "five million, fifty-nine thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 64 92 112 161 184 224 322 368 448 491 644 736 982 1288 1472 1964 2576 3437 3928 5152 6874 7856 10304 11293 13748 15712 22586 27496 31424 45172 54992 79051 90344 109984 158102 180688 219968 316204 361376 632408 722752 1264816 2529632 5059264