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36040464 = 243427809
BaseRepresentation
bin1000100101111…
…0111100010000
32111211001020000
42021132330100
533211243324
63324250000
7615224145
oct211367420
974731200
1036040464
1119386809
12100a0900
13760b525
144b023cc
15326d9c9
hex225ef10

36040464 has 50 divisors (see below), whose sum is σ = 104315310. Its totient is φ = 12013056.

The previous prime is 36040463. The next prime is 36040469. The reversal of 36040464 is 46404063.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 33177600 + 2862864 = 5760^2 + 1692^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (36040463) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 12609 + ... + 15200.

Almost surely, 236040464 is an apocalyptic number.

It is an amenable number.

36040464 is an abundant number, since it is smaller than the sum of its proper divisors (68274846).

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

36040464 is a wasteful number, since it uses less digits than its factorization.

36040464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27829 (or 27814 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 36040464 is about 6003.3710530001. The cubic root of 36040464 is about 330.3163907751.

The spelling of 36040464 in words is "thirty-six million, forty thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 27809 55618 83427 111236 166854 222472 250281 333708 444944 500562 667416 750843 1001124 1334832 1501686 2002248 2252529 3003372 4004496 4505058 6006744 9010116 12013488 18020232 36040464