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316152928 = 25713151719
BaseRepresentation
bin10010110110000…
…001110001100000
3211000220020021201
4102312001301200
51121413343203
651212130544
710556153440
oct2266016140
9730806251
10316152928
11152507413
1289a66a54
1350665150
142ddba120
151cb4ee1d
hex12d81c60

316152928 has 96 divisors (see below), whose sum is σ = 772208640. Its totient is φ = 124070400.

The previous prime is 316152841. The next prime is 316152931. The reversal of 316152928 is 829251613.

It is a hoax number, since the sum of its digits (37) 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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 439353 + ... + 440071.

It is an arithmetic number, because the mean of its divisors is an integer number (8043840).

Almost surely, 2316152928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 316152928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386104320).

316152928 is an abundant number, since it is smaller than the sum of its proper divisors (456055712).

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

316152928 is a wasteful number, since it uses less digits than its factorization.

316152928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900 (or 892 counting only the distinct ones).

The product of its digits is 25920, while the sum is 37.

The square root of 316152928 is about 17780.6897504006. The cubic root of 316152928 is about 681.2383202778.

It can be divided in two parts, 31615 and 2928, that added together give a palindrome (34543).

The spelling of 316152928 in words is "three hundred sixteen million, one hundred fifty-two thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 151 182 208 224 302 364 416 604 719 728 1057 1208 1438 1456 1963 2114 2416 2876 2912 3926 4228 4832 5033 5752 7852 8456 9347 10066 11504 13741 15704 16912 18694 20132 23008 27482 31408 33824 37388 40264 54964 62816 65429 74776 80528 108569 109928 130858 149552 161056 217138 219856 261716 299104 434276 439712 523432 759983 868552 1046864 1411397 1519966 1737104 2093728 2822794 3039932 3474208 5645588 6079864 9879779 11291176 12159728 19759558 22582352 24319456 39519116 45164704 79038232 158076464 316152928