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315252288 = 26321342101
BaseRepresentation
bin10010110010100…
…101111001000000
3210222012110211200
4102302211321000
51121201033123
651140541200
710545412611
oct2262457100
9728173750
10315252288
11151a5178a
12896b1800
135040b220
142dc23c08
151ca23143
hex12ca5e40

315252288 has 84 divisors (see below), whose sum is σ = 973145628. Its totient is φ = 96998400.

The previous prime is 315252271. The next prime is 315252293. The reversal of 315252288 is 882252513.

315252288 is a `hidden beast` number, since 3 + 1 + 52 + 522 + 88 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 142277184 + 172975104 = 11928^2 + 13152^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13563 + ... + 28538.

It is an arithmetic number, because the mean of its divisors is an integer number (11585067).

Almost surely, 2315252288 is an apocalyptic number.

It is an amenable number.

315252288 is an abundant number, since it is smaller than the sum of its proper divisors (657893340).

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

315252288 is a wasteful number, since it uses less digits than its factorization.

315252288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42132 (or 42119 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 315252288 is about 17755.3453359826. The cubic root of 315252288 is about 680.5908129408.

The spelling of 315252288 in words is "three hundred fifteen million, two hundred fifty-two thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 144 156 192 208 234 288 312 416 468 576 624 832 936 1248 1872 2496 3744 7488 42101 84202 126303 168404 252606 336808 378909 505212 547313 673616 757818 1010424 1094626 1347232 1515636 1641939 2020848 2189252 2694464 3031272 3283878 4041696 4378504 4925817 6062544 6567756 8083392 8757008 9851634 12125088 13135512 17514016 19703268 24250176 26271024 35028032 39406536 52542048 78813072 105084096 157626144 315252288