Search a number
-
+
315272892 = 223119724623
BaseRepresentation
bin10010110010101…
…010111010111100
3210222020112002210
4102302222322330
51121202213032
651141220420
710545526644
oct2262527274
9728215083
10315272892
11151a66210
1289701710
135041770c
142dc2b524
151ca292cc
hex12caaebc

315272892 has 48 divisors (see below), whose sum is σ = 810819072. Its totient is φ = 94548480.

The previous prime is 315272887. The next prime is 315272899. The reversal of 315272892 is 298272513.

It is a self number, because there is not a number n which added to its sum of digits gives 315272892.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315272899) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 493 + ... + 25115.

It is an arithmetic number, because the mean of its divisors is an integer number (16892064).

Almost surely, 2315272892 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 315272892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405409536).

315272892 is an abundant number, since it is smaller than the sum of its proper divisors (495546180).

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

315272892 is a wasteful number, since it uses less digits than its factorization.

315272892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24738 (or 24736 counting only the distinct ones).

The product of its digits is 60480, while the sum is 39.

The square root of 315272892 is about 17755.9255461381. The cubic root of 315272892 is about 680.6056397829.

The spelling of 315272892 in words is "three hundred fifteen million, two hundred seventy-two thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 97 132 194 291 388 582 1067 1164 2134 3201 4268 6402 12804 24623 49246 73869 98492 147738 270853 295476 541706 812559 1083412 1625118 2388431 3250236 4776862 7165293 9553724 14330586 26272741 28661172 52545482 78818223 105090964 157636446 315272892