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827870472 = 2332111380407
BaseRepresentation
bin110001010110000…
…100110100001000
32010200210011210100
4301112010310020
53143413323342
6214052045400
726341532352
oct6126046410
92120704710
10827870472
11395347380
121b1303860
131026907b0
147bd420d2
154ca2ee4c
hex31584d08

827870472 has 96 divisors (see below), whose sum is σ = 2634166080. Its totient is φ = 231569280.

The previous prime is 827870423. The next prime is 827870479. The reversal of 827870472 is 274078728.

It is not an unprimeable number, because it can be changed into a prime (827870479) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 29908 + ... + 50499.

It is an arithmetic number, because the mean of its divisors is an integer number (27439230).

Almost surely, 2827870472 is an apocalyptic number.

It is an amenable number.

827870472 is an abundant number, since it is smaller than the sum of its proper divisors (1806295608).

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

827870472 is a wasteful number, since it uses less digits than its factorization.

827870472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80443 (or 80436 counting only the distinct ones).

The product of its (nonzero) digits is 351232, while the sum is 45.

The square root of 827870472 is about 28772.7383472620. The cubic root of 827870472 is about 938.9752193986.

The spelling of 827870472 in words is "eight hundred twenty-seven million, eight hundred seventy thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 13 18 22 24 26 33 36 39 44 52 66 72 78 88 99 104 117 132 143 156 198 234 264 286 312 396 429 468 572 792 858 936 1144 1287 1716 2574 3432 5148 10296 80407 160814 241221 321628 482442 643256 723663 884477 964884 1045291 1447326 1768954 1929768 2090582 2653431 2894652 3135873 3537908 4181164 5306862 5789304 6271746 7075816 7960293 8362328 9407619 10613724 11498201 12543492 15920586 18815238 21227448 22996402 25086984 31841172 34494603 37630476 45992804 63682344 68989206 75260952 91985608 103483809 137978412 206967618 275956824 413935236 827870472