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640419584 = 287357377
BaseRepresentation
bin100110001011000…
…000011100000000
31122122001200111212
4212023000130000
52302421411314
6143314225252
721604322330
oct4613003400
91578050455
10640419584
112a9555792
1215a585228
13a28ab3cc
14610a90c0
153b353e3e
hex262c0700

640419584 has 36 divisors (see below), whose sum is σ = 1460961264. Its totient is φ = 274464768.

The previous prime is 640419551. The next prime is 640419589. The reversal of 640419584 is 485914046.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (640419589) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 176897 + ... + 180480.

Almost surely, 2640419584 is an apocalyptic number.

640419584 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

640419584 is an abundant number, since it is smaller than the sum of its proper divisors (820541680).

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

640419584 is an equidigital number, since it uses as much as digits as its factorization.

640419584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357400 (or 357386 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 41.

The square root of 640419584 is about 25306.5126795456. The cubic root of 640419584 is about 861.9621611899.

The spelling of 640419584 in words is "six hundred forty million, four hundred nineteen thousand, five hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 896 1792 357377 714754 1429508 2501639 2859016 5003278 5718032 10006556 11436064 20013112 22872128 40026224 45744256 80052448 91488512 160104896 320209792 640419584