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315485696 = 29719857
BaseRepresentation
bin10010110011011…
…110111000000000
3210222122100000102
4102303132320000
51121231020241
651145541532
710550404241
oct2263367000
9728570012
10315485696
111520a1089
12897a48a8
1350490536
142dc84cc8
151ca6c39b
hex12cdee00

315485696 has 40 divisors (see below), whose sum is σ = 631968480. Its totient is φ = 157339648.

The previous prime is 315485689. The next prime is 315485719. The reversal of 315485696 is 696584513.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 315485696.

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 3 ways as a sum of consecutive naturals, for example, 367700 + ... + 368556.

It is an arithmetic number, because the mean of its divisors is an integer number (15799212).

Almost surely, 2315485696 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 315485696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315984240).

315485696 is an abundant number, since it is smaller than the sum of its proper divisors (316482784).

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

315485696 is an frugal number, since it uses more digits than its factorization.

315485696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1594 (or 1578 counting only the distinct ones).

The product of its digits is 777600, while the sum is 47.

The square root of 315485696 is about 17761.9170136559. The cubic root of 315485696 is about 680.7587378673.

The spelling of 315485696 in words is "three hundred fifteen million, four hundred eighty-five thousand, six hundred ninety-six".

Divisors: 1 2 4 8 16 32 64 128 256 512 719 857 1438 1714 2876 3428 5752 6856 11504 13712 23008 27424 46016 54848 92032 109696 184064 219392 368128 438784 616183 1232366 2464732 4929464 9858928 19717856 39435712 78871424 157742848 315485696