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316589472 = 2534671823
BaseRepresentation
bin10010110111101…
…100010110100000
3211001201102010000
4102313230112200
51122021330342
651225340000
710562652243
oct2267542640
9731642100
10316589472
111527853a1
128a037600
1350788a64
143009125a
151cbd944c
hex12dec5a0

316589472 has 120 divisors (see below), whose sum is σ = 945495936. Its totient is φ = 103897728.

The previous prime is 316589467. The next prime is 316589477. The reversal of 316589472 is 274985613.

It is an interprime number because it is at equal distance from previous prime (316589467) and next prime (316589477).

It is not an unprimeable number, because it can be changed into a prime (316589477) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 172753 + ... + 174575.

Almost surely, 2316589472 is an apocalyptic number.

316589472 is a gapful number since it is divisible by the number (32) 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 316589472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472747968).

316589472 is an abundant number, since it is smaller than the sum of its proper divisors (628906464).

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

316589472 is a wasteful number, since it uses less digits than its factorization.

316589472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1912 (or 1895 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 316589472 is about 17792.9613049655. The cubic root of 316589472 is about 681.5517273887.

The spelling of 316589472 in words is "three hundred sixteen million, five hundred eighty-nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 67 72 81 96 108 134 144 162 201 216 268 288 324 402 432 536 603 648 804 864 1072 1206 1296 1608 1809 1823 2144 2412 2592 3216 3618 3646 4824 5427 5469 6432 7236 7292 9648 10854 10938 14472 14584 16407 19296 21708 21876 28944 29168 32814 43416 43752 49221 57888 58336 65628 86832 87504 98442 122141 131256 147663 173664 175008 196884 244282 262512 295326 366423 393768 488564 525024 590652 732846 787536 977128 1099269 1181304 1465692 1575072 1954256 2198538 2362608 2931384 3297807 3908512 4397076 4725216 5862768 6595614 8794152 9893421 11725536 13191228 17588304 19786842 26382456 35176608 39573684 52764912 79147368 105529824 158294736 316589472