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316007552 = 277312367
BaseRepresentation
bin10010110101011…
…110010010000000
3211000121211212102
4102311132102000
51121344220202
651205045532
710555006550
oct2265362200
9730554772
10316007552
11152418173
12899b68a8
1350613c23
142dd7d160
151cb21d02
hex12d5e480

316007552 has 96 divisors (see below), whose sum is σ = 745464960. Its totient is φ = 130705920.

The previous prime is 316007539. The next prime is 316007567. The reversal of 316007552 is 255700613.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 860873 + ... + 861239.

It is an arithmetic number, because the mean of its divisors is an integer number (7765260).

Almost surely, 2316007552 is an apocalyptic number.

316007552 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 316007552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372732480).

316007552 is an abundant number, since it is smaller than the sum of its proper divisors (429457408).

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

316007552 is an equidigital number, since it uses as much as digits as its factorization.

316007552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 29.

The square root of 316007552 is about 17776.6012499578. The cubic root of 316007552 is about 681.1338867617.

The spelling of 316007552 in words is "three hundred sixteen million, seven thousand, five hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 128 217 224 248 367 434 448 496 734 868 896 961 992 1468 1736 1922 1984 2569 2936 3472 3844 3968 5138 5872 6727 6944 7688 10276 11377 11744 13454 13888 15376 20552 22754 23488 26908 27776 30752 41104 45508 46976 53816 61504 79639 82208 91016 107632 123008 159278 164416 182032 215264 318556 328832 352687 364064 430528 637112 705374 728128 861056 1274224 1410748 1456256 2468809 2548448 2821496 4937618 5096896 5642992 9875236 10193792 11285984 19750472 22571968 39500944 45143936 79001888 158003776 316007552