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640456632 = 23351073079
BaseRepresentation
bin100110001011001…
…001011110111000
31122122010120100000
4212023021132320
52302424103012
6143315113000
721604535334
oct4613113670
91578116300
10640456632
112a9580602
1215a5a2760
13a28c222a
14610b87c4
153b35eddc
hex262c97b8

640456632 has 96 divisors (see below), whose sum is σ = 1816214400. Its totient is φ = 211421664.

The previous prime is 640456631. The next prime is 640456637. The reversal of 640456632 is 236654046.

640456632 is a `hidden beast` number, since 64 + 0 + 4 + 566 + 32 = 666.

640456632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (640456631) 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, 206469 + ... + 209547.

It is an arithmetic number, because the mean of its divisors is an integer number (18918900).

Almost surely, 2640456632 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 640456632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (908107200).

640456632 is an abundant number, since it is smaller than the sum of its proper divisors (1175757768).

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

640456632 is a wasteful number, since it uses less digits than its factorization.

640456632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3207 (or 3191 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 640456632 is about 25307.2446544463. The cubic root of 640456632 is about 861.9787822506.

It can be divided in two parts, 6404 and 56632, that added together give a palindrome (63036).

The spelling of 640456632 in words is "six hundred forty million, four hundred fifty-six thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 107 108 162 214 216 243 321 324 428 486 642 648 856 963 972 1284 1926 1944 2568 2889 3079 3852 5778 6158 7704 8667 9237 11556 12316 17334 18474 23112 24632 26001 27711 34668 36948 52002 55422 69336 73896 83133 104004 110844 166266 208008 221688 249399 329453 332532 498798 658906 665064 748197 988359 997596 1317812 1496394 1976718 1995192 2635624 2965077 2992788 3953436 5930154 5985576 7906872 8895231 11860308 17790462 23720616 26685693 35580924 53371386 71161848 80057079 106742772 160114158 213485544 320228316 640456632