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640452000 = 2535319532
BaseRepresentation
bin100110001011001…
…000010110100000
31122122010022222110
4212023020112200
52302423431000
6143315035320
721604515666
oct4613102640
91578108873
10640452000
112a9578081
1215a59bb40
13a28c00a6
14610b6c36
153b35d850
hex262c85a0

640452000 has 288 divisors, whose sum is σ = 2251005120. Its totient is φ = 158745600.

The previous prime is 640451989. The next prime is 640452011. The reversal of 640452000 is 254046.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (640451989) and next prime (640452011).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12083974 + ... + 12084026.

It is an arithmetic number, because the mean of its divisors is an integer number (7815990).

Almost surely, 2640452000 is an apocalyptic number.

640452000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 640452000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1125502560).

640452000 is an abundant number, since it is smaller than the sum of its proper divisors (1610553120).

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

640452000 is a wasteful number, since it uses less digits than its factorization.

640452000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 640452000 is about 25307.1531389842. The cubic root of 640452000 is about 861.9767042044.

The spelling of 640452000 in words is "six hundred forty million, four hundred fifty-two thousand".