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315593488 = 247231011213
BaseRepresentation
bin10010110011111…
…001001100010000
3210222211210212201
4102303321030100
51121242442423
651152132544
710551333430
oct2263711420
9728753781
10315593488
11152165071
1289837154
13504ca612
142dcb22c0
151ca8e2ad
hex12cf9310

315593488 has 80 divisors (see below), whose sum is σ = 737024256. Its totient is φ = 127987200.

The previous prime is 315593479. The next prime is 315593489. The reversal of 315593488 is 884395513.

It is a super-2 number, since 2×3155934882 = 199198499336012288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is not an unprimeable number, because it can be changed into a prime (315593489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 259570 + ... + 260782.

Almost surely, 2315593488 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 315593488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368512128).

315593488 is an abundant number, since it is smaller than the sum of its proper divisors (421430768).

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

315593488 is a wasteful number, since it uses less digits than its factorization.

315593488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1352 (or 1346 counting only the distinct ones).

The product of its digits is 518400, while the sum is 46.

The square root of 315593488 is about 17764.9511116693. The cubic root of 315593488 is about 680.8362606532.

The spelling of 315593488 in words is "three hundred fifteen million, five hundred ninety-three thousand, four hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 23 28 46 56 92 101 112 161 184 202 322 368 404 644 707 808 1213 1288 1414 1616 2323 2426 2576 2828 4646 4852 5656 8491 9292 9704 11312 16261 16982 18584 19408 27899 32522 33964 37168 55798 65044 67928 111596 122513 130088 135856 195293 223192 245026 260176 390586 446384 490052 781172 857591 980104 1562344 1715182 1960208 2817799 3124688 3430364 5635598 6860728 11271196 13721456 19724593 22542392 39449186 45084784 78898372 157796744 315593488