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5357856 = 253721767
BaseRepresentation
bin10100011100000100100000
3101002012121010
4110130010200
52332422411
6310500520
763353400
oct24340440
911065533
105357856
11302a489
121964740
13115793a
149d6800
1570c7a6
hex51c120

5357856 has 144 divisors (see below), whose sum is σ = 17581536. Its totient is φ = 1419264.

The previous prime is 5357851. The next prime is 5357857. The reversal of 5357856 is 6587535.

It is not an unprimeable number, because it can be changed into a prime (5357851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79935 + ... + 80001.

It is an arithmetic number, because the mean of its divisors is an integer number (122094).

Almost surely, 25357856 is an apocalyptic number.

5357856 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 5357856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8790768).

5357856 is an abundant number, since it is smaller than the sum of its proper divisors (12223680).

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

5357856 is a wasteful number, since it uses less digits than its factorization.

5357856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 96 counting only the distinct ones).

The product of its digits is 126000, while the sum is 39.

The square root of 5357856 is about 2314.7043007693. The cubic root of 5357856 is about 174.9834651044.

The spelling of 5357856 in words is "five million, three hundred fifty-seven thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 49 51 56 67 68 84 96 98 102 112 119 134 136 147 168 196 201 204 224 238 268 272 294 336 357 392 402 408 469 476 536 544 588 672 714 784 804 816 833 938 952 1072 1139 1176 1407 1428 1568 1608 1632 1666 1876 1904 2144 2278 2352 2499 2814 2856 3216 3283 3332 3417 3752 3808 4556 4704 4998 5628 5712 6432 6566 6664 6834 7504 7973 9112 9849 9996 11256 11424 13132 13328 13668 15008 15946 18224 19698 19992 22512 23919 26264 26656 27336 31892 36448 39396 39984 45024 47838 52528 54672 55811 63784 78792 79968 95676 105056 109344 111622 127568 157584 167433 191352 223244 255136 315168 334866 382704 446488 669732 765408 892976 1339464 1785952 2678928 5357856