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5868576 = 253274171
BaseRepresentation
bin10110011000110000100000
3102001011011200
4112120300200
53000243301
6325441200
7100611360
oct26306040
912034150
105868576
11334916a
121b70200
1312a623c
14aca9a0
157adc86
hex598c20

5868576 has 144 divisors (see below), whose sum is σ = 19813248. Its totient is φ = 1612800.

The previous prime is 5868557. The next prime is 5868581. The reversal of 5868576 is 6758685.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82621 + ... + 82691.

It is an arithmetic number, because the mean of its divisors is an integer number (137592).

Almost surely, 25868576 is an apocalyptic number.

5868576 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 5868576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9906624).

5868576 is an abundant number, since it is smaller than the sum of its proper divisors (13944672).

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

5868576 is a wasteful number, since it uses less digits than its factorization.

5868576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 124 counting only the distinct ones).

The product of its digits is 403200, while the sum is 45.

The square root of 5868576 is about 2422.5143962421. The cubic root of 5868576 is about 180.3755123652.

The spelling of 5868576 in words is "five million, eight hundred sixty-eight thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 41 42 48 56 63 71 72 82 84 96 112 123 126 142 144 164 168 213 224 246 252 284 287 288 328 336 369 426 492 497 504 568 574 639 656 672 738 852 861 984 994 1008 1136 1148 1278 1312 1476 1491 1704 1722 1968 1988 2016 2272 2296 2556 2583 2911 2952 2982 3408 3444 3936 3976 4473 4592 5112 5166 5822 5904 5964 6816 6888 7952 8733 8946 9184 10224 10332 11644 11808 11928 13776 15904 17466 17892 20377 20448 20664 23288 23856 26199 27552 34932 35784 40754 41328 46576 47712 52398 61131 69864 71568 81508 82656 93152 104796 122262 139728 143136 163016 183393 209592 244524 279456 326032 366786 419184 489048 652064 733572 838368 978096 1467144 1956192 2934288 5868576