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645164352 = 2634723773
BaseRepresentation
bin100110011101000…
…110110101000000
31122221222202010000
4212131012311000
52310130224402
6144004040000
721662543430
oct4635066500
91587882100
10645164352
113011a6588
12160093000
13a387cc71
14619822c0
153b98ec1c
hex26746d40

645164352 has 280 divisors, whose sum is σ = 2283659136. Its totient is φ = 176090112.

The previous prime is 645164321. The next prime is 645164353. The reversal of 645164352 is 253461546.

645164352 is a `hidden beast` number, since 6 + 4 + 5 + 1 + 643 + 5 + 2 = 666.

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 (645164353) by changing a digit.

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, 834238 + ... + 835010.

Almost surely, 2645164352 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 645164352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1141829568).

645164352 is an abundant number, since it is smaller than the sum of its proper divisors (1638494784).

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

645164352 is a wasteful number, since it uses less digits than its factorization.

645164352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827 (or 808 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 645164352 is about 25400.0856691469. The cubic root of 645164352 is about 864.0856396593.

The spelling of 645164352 in words is "six hundred forty-five million, one hundred sixty-four thousand, three hundred fifty-two".