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640782252 = 2237116659
BaseRepresentation
bin100110001100011…
…000111110101100
31122122202010000000
4212030120332230
52303020013002
6143330104300
721610362555
oct4614307654
91578663000
10640782252
112a9783210
1215a71b090
13a29a74c6
146116132c
153b3c661c
hex26318fac

640782252 has 96 divisors (see below), whose sum is σ = 1834963200. Its totient is φ = 194147280.

The previous prime is 640782251. The next prime is 640782281. The reversal of 640782252 is 252287046.

640782252 is a `hidden beast` number, since 640 + 7 + 8 + 2 + 2 + 5 + 2 = 666.

640782252 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 not an unprimeable number, because it can be changed into a prime (640782251) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92899 + ... + 99557.

It is an arithmetic number, because the mean of its divisors is an integer number (19114200).

Almost surely, 2640782252 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 640782252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (917481600).

640782252 is an abundant number, since it is smaller than the sum of its proper divisors (1194180948).

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

640782252 is a wasteful number, since it uses less digits than its factorization.

640782252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6695 (or 6675 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 640782252 is about 25313.6771726274. The cubic root of 640782252 is about 862.1248394871.

The spelling of 640782252 in words is "six hundred forty million, seven hundred eighty-two thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 243 297 324 396 486 594 729 891 972 1188 1458 1782 2187 2673 2916 3564 4374 5346 6659 8019 8748 10692 13318 16038 19977 24057 26636 32076 39954 48114 59931 73249 79908 96228 119862 146498 179793 219747 239724 292996 359586 439494 539379 659241 719172 878988 1078758 1318482 1618137 1977723 2157516 2636964 3236274 3955446 4854411 5933169 6472548 7910892 9708822 11866338 14563233 17799507 19417644 23732676 29126466 35599014 53398521 58252932 71198028 106797042 160195563 213594084 320391126 640782252