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315495096 = 233711316619
BaseRepresentation
bin10010110011100…
…001001010111000
3210222122210220120
4102303201022320
51121231320341
651150053240
710550443530
oct2263411270
9728583816
10315495096
111520a8154
12897aa220
13504948b7
142dc884c0
151ca70066
hex12ce12b8

315495096 has 64 divisors (see below), whose sum is σ = 909446400. Its totient is φ = 89338368.

The previous prime is 315495053. The next prime is 315495107. The reversal of 315495096 is 690594513.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10675 + ... + 27293.

It is an arithmetic number, because the mean of its divisors is an integer number (14210100).

Almost surely, 2315495096 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 315495096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454723200).

315495096 is an abundant number, since it is smaller than the sum of its proper divisors (593951304).

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

315495096 is a wasteful number, since it uses less digits than its factorization.

315495096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16748 (or 16744 counting only the distinct ones).

The product of its (nonzero) digits is 145800, while the sum is 42.

The square root of 315495096 is about 17762.1816227624. The cubic root of 315495096 is about 680.7654989436.

The spelling of 315495096 in words is "three hundred fifteen million, four hundred ninety-five thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 113 168 226 339 452 678 791 904 1356 1582 2373 2712 3164 4746 6328 9492 16619 18984 33238 49857 66476 99714 116333 132952 199428 232666 348999 398856 465332 697998 930664 1395996 1877947 2791992 3755894 5633841 7511788 11267682 13145629 15023576 22535364 26291258 39436887 45070728 52582516 78873774 105165032 157747548 315495096