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5295888 = 2433132341
BaseRepresentation
bin10100001100111100010000
3100222001121000
4110030330100
52323432023
6305302000
763004623
oct24147420
910861530
105295888
112a97974
121934900
131135680
149bbdba
156e9243
hex50cf10

5295888 has 160 divisors (see below), whose sum is σ = 17498880. Its totient is φ = 1520640.

The previous prime is 5295883. The next prime is 5295943. The reversal of 5295888 is 8885925.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5295883) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 129148 + ... + 129188.

It is an arithmetic number, because the mean of its divisors is an integer number (109368).

Almost surely, 25295888 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 5295888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8749440).

5295888 is an abundant number, since it is smaller than the sum of its proper divisors (12202992).

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

5295888 is a wasteful number, since it uses less digits than its factorization.

5295888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 82 counting only the distinct ones).

The product of its digits is 230400, while the sum is 45.

The square root of 5295888 is about 2301.2796440242. The cubic root of 5295888 is about 174.3062383529.

The spelling of 5295888 in words is "five million, two hundred ninety-five thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 23 24 26 27 36 39 41 46 48 52 54 69 72 78 82 92 104 108 117 123 138 144 156 164 184 207 208 216 234 246 276 299 312 328 351 368 369 414 432 468 492 533 552 598 621 624 656 702 738 828 897 936 943 984 1066 1104 1107 1196 1242 1404 1476 1599 1656 1794 1872 1886 1968 2132 2214 2392 2484 2691 2808 2829 2952 3198 3312 3588 3772 4264 4428 4784 4797 4968 5382 5616 5658 5904 6396 7176 7544 8073 8487 8528 8856 9594 9936 10764 11316 12259 12792 14352 14391 15088 16146 16974 17712 19188 21528 22632 24518 25461 25584 28782 32292 33948 36777 38376 43056 45264 49036 50922 57564 64584 67896 73554 76752 98072 101844 110331 115128 129168 135792 147108 196144 203688 220662 230256 294216 330993 407376 441324 588432 661986 882648 1323972 1765296 2647944 5295888