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640424718 = 23479163307
BaseRepresentation
bin100110001011000…
…001101100001110
31122122001221120000
4212023001230032
52302422042333
6143314305130
721604343313
oct4613015416
91578057500
10640424718
112a955962a
1215a5881a6
13a28b084b
14610aad0a
153b355713
hex262c1b0e

640424718 has 80 divisors (see below), whose sum is σ = 1466868480. Its totient is φ = 208797264.

The previous prime is 640424699. The next prime is 640424737. The reversal of 640424718 is 817424046.

640424718 is a `hidden beast` number, since 6 + 404 + 247 + 1 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (640424699) and next prime (640424737).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2085921 + ... + 2086227.

It is an arithmetic number, because the mean of its divisors is an integer number (18335856).

Almost surely, 2640424718 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 640424718, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733434240).

640424718 is an abundant number, since it is smaller than the sum of its proper divisors (826443762).

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

640424718 is a wasteful number, since it uses less digits than its factorization.

640424718 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 640424718 is about 25306.6141156813. The cubic root of 640424718 is about 861.9644645245.

The spelling of 640424718 in words is "six hundred forty million, four hundred twenty-four thousand, seven hundred eighteen".

Divisors: 1 2 3 6 9 18 27 54 79 81 158 162 163 237 307 326 474 489 614 711 921 978 1422 1467 1842 2133 2763 2934 4266 4401 5526 6399 8289 8802 12798 12877 13203 16578 24253 24867 25754 26406 38631 48506 49734 50041 72759 77262 100082 115893 145518 150123 218277 231786 300246 347679 436554 450369 654831 695358 900738 1043037 1309662 1351107 1964493 2086074 2702214 3928986 3953239 4053321 7906478 8106642 11859717 23719434 35579151 71158302 106737453 213474906 320212359 640424718