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640424416 = 25371314129
BaseRepresentation
bin100110001011000…
…001100111100000
31122122001221010211
4212023001213200
52302422040131
6143314303504
721604342402
oct4613014740
91578057124
10640424416
112a9559385
1215a587b94
13a28b0678
14610aab72
153b3555b1
hex262c19e0

640424416 has 48 divisors (see below), whose sum is σ = 1305113040. Its totient is φ = 309104640.

The previous prime is 640424399. The next prime is 640424441. The reversal of 640424416 is 614424046.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 153040 + ... + 157168.

It is an arithmetic number, because the mean of its divisors is an integer number (27189855).

Almost surely, 2640424416 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 640424416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652556520).

640424416 is an abundant number, since it is smaller than the sum of its proper divisors (664688624).

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

640424416 is a wasteful number, since it uses less digits than its factorization.

640424416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4307 (or 4299 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

The square root of 640424416 is about 25306.6081488610. The cubic root of 640424416 is about 861.9643290346.

The spelling of 640424416 in words is "six hundred forty million, four hundred twenty-four thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 32 37 74 131 148 262 296 524 592 1048 1184 2096 4129 4192 4847 8258 9694 16516 19388 33032 38776 66064 77552 132128 152773 155104 305546 540899 611092 1081798 1222184 2163596 2444368 4327192 4888736 8654384 17308768 20013263 40026526 80053052 160106104 320212208 640424416