Search a number
-
+
315077928 = 233117316349
BaseRepresentation
bin10010110001111…
…011010100101000
3210221212121122220
4102301323110220
51121124443203
651133114040
710544055354
oct2261732450
9727777586
10315077928
11151942790
1289628920
1350379a59
142dbba464
151c9db653
hex12c7b528

315077928 has 64 divisors (see below), whose sum is σ = 871128000. Its totient is φ = 94164480.

The previous prime is 315077923. The next prime is 315077957. The reversal of 315077928 is 829770513.

It is a self number, because there is not a number n which added to its sum of digits gives 315077928.

It is not an unprimeable number, because it can be changed into a prime (315077923) 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, 11098 + ... + 27446.

It is an arithmetic number, because the mean of its divisors is an integer number (13611375).

Almost surely, 2315077928 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 315077928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435564000).

315077928 is an abundant number, since it is smaller than the sum of its proper divisors (556050072).

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

315077928 is a wasteful number, since it uses less digits than its factorization.

315077928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16442 (or 16438 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 42.

The square root of 315077928 is about 17750.4345862291. The cubic root of 315077928 is about 680.4653158887.

The spelling of 315077928 in words is "three hundred fifteen million, seventy-seven thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 73 88 132 146 219 264 292 438 584 803 876 1606 1752 2409 3212 4818 6424 9636 16349 19272 32698 49047 65396 98094 130792 179839 196188 359678 392376 539517 719356 1079034 1193477 1438712 2158068 2386954 3580431 4316136 4773908 7160862 9547816 13128247 14321724 26256494 28643448 39384741 52512988 78769482 105025976 157538964 315077928