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5042688 = 2937267
BaseRepresentation
bin10011001111001000000000
3100111012021020
4103033020000
52242331223
6300025440
760601500
oct23171000
910435236
105042688
112934712
121832280
131077351
14953a00
156991e3
hex4cf200

5042688 has 120 divisors (see below), whose sum is σ = 15860592. Its totient is φ = 1419264.

The previous prime is 5042647. The next prime is 5042707. The reversal of 5042688 is 8862405.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75231 + ... + 75297.

Almost surely, 25042688 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 5042688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7930296).

5042688 is an abundant number, since it is smaller than the sum of its proper divisors (10817904).

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

5042688 is an equidigital number, since it uses as much as digits as its factorization.

5042688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 5042688 is about 2245.5930174455. The cubic root of 5042688 is about 171.4828526518.

The spelling of 5042688 in words is "five million, forty-two thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 67 84 96 98 112 128 134 147 168 192 196 201 224 256 268 294 336 384 392 402 448 469 512 536 588 672 768 784 804 896 938 1072 1176 1344 1407 1536 1568 1608 1792 1876 2144 2352 2688 2814 3136 3216 3283 3584 3752 4288 4704 5376 5628 6272 6432 6566 7504 8576 9408 9849 10752 11256 12544 12864 13132 15008 17152 18816 19698 22512 25088 25728 26264 30016 34304 37632 39396 45024 51456 52528 60032 75264 78792 90048 102912 105056 120064 157584 180096 210112 240128 315168 360192 420224 630336 720384 840448 1260672 1680896 2521344 5042688