Search a number
-
+
315132948 = 223213251797
BaseRepresentation
bin10010110010001…
…000110000010100
3210221222102010200
4102302020300110
51121133223243
651134220500
710544404644
oct2262106024
9727872120
10315132948
11151980059
1289654730
1350398b00
142dbd2524
151c9ecad3
hex12c88c14

315132948 has 54 divisors (see below), whose sum is σ = 862592094. Its totient is φ = 96962112.

The previous prime is 315132947. The next prime is 315132967. The reversal of 315132948 is 849231513.

It can be written as a sum of positive squares in 3 ways, for example, as 7551504 + 307581444 = 2748^2 + 17538^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315132941) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 19815 + ... + 31982.

Almost surely, 2315132948 is an apocalyptic number.

It is an amenable number.

315132948 is an abundant number, since it is smaller than the sum of its proper divisors (547459146).

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

315132948 is a wasteful number, since it uses less digits than its factorization.

315132948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51833 (or 51815 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 315132948 is about 17751.9843397858. The cubic root of 315132948 is about 680.5049219875.

The spelling of 315132948 in words is "three hundred fifteen million, one hundred thirty-two thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 169 234 338 468 507 676 1014 1521 2028 3042 6084 51797 103594 155391 207188 310782 466173 621564 673361 932346 1346722 1864692 2020083 2693444 4040166 6060249 8080332 8753693 12120498 17507386 24240996 26261079 35014772 52522158 78783237 105044316 157566474 315132948