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315444052 = 227114492281
BaseRepresentation
bin10010110011010…
…100101101010100
3210222120012220001
4102303110231110
51121223202202
651145021044
710550141650
oct2263245524
9728505801
10315444052
11152072870
1289784784
13504775b1
142dc73a60
151ca5ed87
hex12cd4b54

315444052 has 48 divisors (see below), whose sum is σ = 690076800. Its totient is φ = 122572800.

The previous prime is 315444047. The next prime is 315444053. The reversal of 315444052 is 250444513.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 315444052.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315444053) 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, 137152 + ... + 139432.

It is an arithmetic number, because the mean of its divisors is an integer number (14376600).

Almost surely, 2315444052 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 315444052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345038400).

315444052 is an abundant number, since it is smaller than the sum of its proper divisors (374632748).

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

315444052 is a wasteful number, since it uses less digits than its factorization.

315444052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2752 (or 2750 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

The square root of 315444052 is about 17760.7446915944. The cubic root of 315444052 is about 680.7287832453.

Adding to 315444052 its reverse (250444513), we get a palindrome (565888565).

The spelling of 315444052 in words is "three hundred fifteen million, four hundred forty-four thousand, fifty-two".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 308 449 898 1796 2281 3143 4562 4939 6286 9124 9878 12572 15967 19756 25091 31934 34573 50182 63868 69146 100364 138292 175637 351274 702548 1024169 2048338 4096676 7169183 11265859 14338366 22531718 28676732 45063436 78861013 157722026 315444052