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5751264 = 253139431
BaseRepresentation
bin10101111100000111100000
3101211012020210
4111330013200
52433020024
6323134120
766612351
oct25740740
911735223
105751264
113279012
121b14340
131264a1c
14a99d28
15789129
hex57c1e0

5751264 has 48 divisors (see below), whose sum is σ = 15240960. Its totient is φ = 1898880.

The previous prime is 5751259. The next prime is 5751271. The reversal of 5751264 is 4621575.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 13129 + ... + 13559.

It is an arithmetic number, because the mean of its divisors is an integer number (317520).

Almost surely, 25751264 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 5751264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7620480).

5751264 is an abundant number, since it is smaller than the sum of its proper divisors (9489696).

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

5751264 is a wasteful number, since it uses less digits than its factorization.

5751264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583 (or 575 counting only the distinct ones).

The product of its digits is 8400, while the sum is 30.

The square root of 5751264 is about 2398.1793093929. The cubic root of 5751264 is about 179.1655200455.

The spelling of 5751264 in words is "five million, seven hundred fifty-one thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 139 278 417 431 556 834 862 1112 1293 1668 1724 2224 2586 3336 3448 4448 5172 6672 6896 10344 13344 13792 20688 41376 59909 119818 179727 239636 359454 479272 718908 958544 1437816 1917088 2875632 5751264