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315450048 = 2633152999
BaseRepresentation
bin10010110011010…
…110001011000000
3210222120112010010
4102303112023000
51121223400143
651145104520
710550165304
oct2263261300
9728515103
10315450048
11152077321
1289788140
135047a244
142dc75d04
151ca61a33
hex12cd62c0

315450048 has 56 divisors (see below), whose sum is σ = 861568000. Its totient is φ = 101756160.

The previous prime is 315450043. The next prime is 315450059. The reversal of 315450048 is 840054513.

315450048 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 315449997 and 315450024.

It is not an unprimeable number, because it can be changed into a prime (315450043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20548 + ... + 32451.

Almost surely, 2315450048 is an apocalyptic number.

It is an amenable number.

315450048 is an abundant number, since it is smaller than the sum of its proper divisors (546117952).

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

315450048 is a wasteful number, since it uses less digits than its factorization.

315450048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53045 (or 53035 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 315450048 is about 17760.9134900207. The cubic root of 315450048 is about 680.7330963439.

The spelling of 315450048 in words is "three hundred fifteen million, four hundred fifty thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 186 192 248 372 496 744 992 1488 1984 2976 5952 52999 105998 158997 211996 317994 423992 635988 847984 1271976 1642969 1695968 2543952 3285938 3391936 4928907 5087904 6571876 9857814 10175808 13143752 19715628 26287504 39431256 52575008 78862512 105150016 157725024 315450048