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315394752 = 26311314537
BaseRepresentation
bin10010110011001…
…000101011000000
3210222110201021010
4102303020223000
51121220113002
651144000520
710546545141
oct2263105300
9728421233
10315394752
11152039822
1289760140
135045b01a
142dc5dac8
151ca5046c
hex12cc8ac0

315394752 has 56 divisors (see below), whose sum is σ = 841924656. Its totient is φ = 104194048.

The previous prime is 315394711. The next prime is 315394777. The reversal of 315394752 is 257493513.

It is a happy number.

315394752 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 315394752.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14428 + ... + 28964.

Almost surely, 2315394752 is an apocalyptic number.

315394752 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 315394752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420962328).

315394752 is an abundant number, since it is smaller than the sum of its proper divisors (526529904).

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

315394752 is a wasteful number, since it uses less digits than its factorization.

315394752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14665 (or 14655 counting only the distinct ones).

The product of its digits is 113400, while the sum is 39.

The square root of 315394752 is about 17759.3567451076. The cubic root of 315394752 is about 680.6933182373.

The spelling of 315394752 in words is "three hundred fifteen million, three hundred ninety-four thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 113 192 226 339 452 678 904 1356 1808 2712 3616 5424 7232 10848 14537 21696 29074 43611 58148 87222 116296 174444 232592 348888 465184 697776 930368 1395552 1642681 2791104 3285362 4928043 6570724 9856086 13141448 19712172 26282896 39424344 52565792 78848688 105131584 157697376 315394752