Search a number
-
+
315442152 = 233243139733
BaseRepresentation
bin10010110011010…
…100001111101000
3210222120010021200
4102303110033220
51121223122102
651145004200
710550133264
oct2263241750
9728503250
10315442152
111520713a3
1289783660
135047677c
142dc730a4
151ca5e51c
hex12cd43e8

315442152 has 96 divisors (see below), whose sum is σ = 881680800. Its totient is φ = 101824128.

The previous prime is 315442147. The next prime is 315442159. The reversal of 315442152 is 251244513.

It is a super-2 number, since 2×3154421522 = 199007502516782208, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (315442159) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 429978 + ... + 430710.

It is an arithmetic number, because the mean of its divisors is an integer number (9184175).

Almost surely, 2315442152 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 315442152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440840400).

315442152 is an abundant number, since it is smaller than the sum of its proper divisors (566238648).

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

315442152 is a wasteful number, since it uses less digits than its factorization.

315442152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 927 (or 920 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 315442152 is about 17760.6912027657. The cubic root of 315442152 is about 680.7274165082.

Adding to 315442152 its reverse (251244513), we get a palindrome (566686665).

The spelling of 315442152 in words is "three hundred fifteen million, four hundred forty-two thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 43 72 86 129 139 172 258 278 344 387 417 516 556 733 774 834 1032 1112 1251 1466 1548 1668 2199 2502 2932 3096 3336 4398 5004 5864 5977 6597 8796 10008 11954 13194 17592 17931 23908 26388 31519 35862 47816 52776 53793 63038 71724 94557 101887 107586 126076 143448 189114 203774 215172 252152 283671 305661 378228 407548 430344 567342 611322 756456 815096 916983 1134684 1222644 1833966 2269368 2445288 3667932 4381141 7335864 8762282 13143423 17524564 26286846 35049128 39430269 52573692 78860538 105147384 157721076 315442152