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8397864 = 2333172287
BaseRepresentation
bin100000000010…
…010000101000
3120210122201000
4200002100220
54122212424
6455555000
7131244366
oct40022050
916718630
108397864
114816492
12298ba60
131980567
141188636
15b0d3c9
hex802428

8397864 has 64 divisors (see below), whose sum is σ = 24710400. Its totient is φ = 2633472.

The previous prime is 8397863. The next prime is 8397877. The reversal of 8397864 is 4687938.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (8397863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2529 + ... + 4815.

It is an arithmetic number, because the mean of its divisors is an integer number (386100).

Almost surely, 28397864 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 8397864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12355200).

8397864 is an abundant number, since it is smaller than the sum of its proper divisors (16312536).

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

8397864 is a wasteful number, since it uses less digits than its factorization.

8397864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2319 (or 2309 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 8397864 is about 2897.9068308005. The cubic root of 8397864 is about 203.2620395640.

It can be divided in two parts, 8397 and 864, that added together give a cube (9261 = 213).

The spelling of 8397864 in words is "eight million, three hundred ninety-seven thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 102 108 136 153 204 216 306 408 459 612 918 1224 1836 2287 3672 4574 6861 9148 13722 18296 20583 27444 38879 41166 54888 61749 77758 82332 116637 123498 155516 164664 233274 246996 311032 349911 466548 493992 699822 933096 1049733 1399644 2099466 2799288 4198932 8397864