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5791296 = 263731139
BaseRepresentation
bin10110000101111001000000
3101220020011110
4112011321000
52440310141
6324043320
7100140150
oct26057100
911806143
105791296
1132a60a5
121b33540
13127a004
14aaa760
15795e16
hex585e40

5791296 has 112 divisors (see below), whose sum is σ = 18206720. Its totient is φ = 1589760.

The previous prime is 5791249. The next prime is 5791307. The reversal of 5791296 is 6921975.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a nialpdrome in base 14.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41595 + ... + 41733.

It is an arithmetic number, because the mean of its divisors is an integer number (162560).

Almost surely, 25791296 is an apocalyptic number.

5791296 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5791296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9103360).

5791296 is an abundant number, since it is smaller than the sum of its proper divisors (12415424).

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

5791296 is a wasteful number, since it uses less digits than its factorization.

5791296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 182 counting only the distinct ones).

The product of its digits is 34020, while the sum is 39.

The square root of 5791296 is about 2406.5111676450. The cubic root of 5791296 is about 179.5802565255.

The spelling of 5791296 in words is "five million, seven hundred ninety-one thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 64 84 93 96 112 124 139 168 186 192 217 224 248 278 336 372 417 434 448 496 556 651 672 744 834 868 973 992 1112 1302 1344 1488 1668 1736 1946 1984 2224 2604 2919 2976 3336 3472 3892 4309 4448 5208 5838 5952 6672 6944 7784 8618 8896 10416 11676 12927 13344 13888 15568 17236 20832 23352 25854 26688 30163 31136 34472 41664 46704 51708 60326 62272 68944 90489 93408 103416 120652 137888 180978 186816 206832 241304 275776 361956 413664 482608 723912 827328 965216 1447824 1930432 2895648 5791296