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316793152 = 2613675683
BaseRepresentation
bin10010111000011…
…110000101000000
3211002002202111201
4102320132011000
51122044340102
651233550544
710564461124
oct2270360500
9732082451
10316793152
11152904425
128a115454
135082a690
1430105584
151cc29987
hex12e1e140

316793152 has 56 divisors (see below), whose sum is σ = 687218336. Its totient is φ = 144004608.

The previous prime is 316793119. The next prime is 316793153. The reversal of 316793152 is 251397613.

316793152 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (316793153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52903 + ... + 58585.

It is an arithmetic number, because the mean of its divisors is an integer number (12271756).

Almost surely, 2316793152 is an apocalyptic number.

316793152 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 316793152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343609168).

316793152 is an abundant number, since it is smaller than the sum of its proper divisors (370425184).

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

316793152 is a wasteful number, since it uses less digits than its factorization.

316793152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5775 (or 5765 counting only the distinct ones).

The product of its digits is 34020, while the sum is 37.

The square root of 316793152 is about 17798.6839962959. The cubic root of 316793152 is about 681.6978563757.

The spelling of 316793152 in words is "three hundred sixteen million, seven hundred ninety-three thousand, one hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 67 104 134 208 268 416 536 832 871 1072 1742 2144 3484 4288 5683 6968 11366 13936 22732 27872 45464 55744 73879 90928 147758 181856 295516 363712 380761 591032 761522 1182064 1523044 2364128 3046088 4728256 4949893 6092176 9899786 12184352 19799572 24368704 39599144 79198288 158396576 316793152