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18464964 = 22372311013
BaseRepresentation
bin100011001110…
…0000011000100
31021202010011120
41012130003010
514211334324
61455433540
7312643500
oct106340304
937663146
1018464964
11a472001
1262258b0
133a9681b
142649300
15194b179
hex119c0c4

18464964 has 72 divisors (see below), whose sum is σ = 51787008. Its totient is φ = 5100480.

The previous prime is 18464947. The next prime is 18464969. The reversal of 18464964 is 46946481.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (18464969) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17722 + ... + 18734.

It is an arithmetic number, because the mean of its divisors is an integer number (719264).

Almost surely, 218464964 is an apocalyptic number.

18464964 is a gapful number since it is divisible by the number (14) 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 18464964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25893504).

18464964 is an abundant number, since it is smaller than the sum of its proper divisors (33322044).

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

18464964 is a wasteful number, since it uses less digits than its factorization.

18464964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1065 (or 1056 counting only the distinct ones).

The product of its digits is 165888, while the sum is 42.

The square root of 18464964 is about 4297.0878510917. The cubic root of 18464964 is about 264.3115582505.

The spelling of 18464964 in words is "eighteen million, four hundred sixty-four thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 49 62 84 93 98 124 147 186 196 217 294 372 434 588 651 868 1013 1302 1519 2026 2604 3038 3039 4052 4557 6076 6078 7091 9114 12156 14182 18228 21273 28364 31403 42546 49637 62806 85092 94209 99274 125612 148911 188418 198548 219821 297822 376836 439642 595644 659463 879284 1318926 1538747 2637852 3077494 4616241 6154988 9232482 18464964