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642446532 = 2233713131499
BaseRepresentation
bin100110010010101…
…111010011000100
31122202212122222000
4212102233103010
52303431242112
6143425505300
721630463650
oct4622572304
91582778860
10642446532
112aa70a652
1215b1a2230
13a313aba0
1461475a60
153b6047dc
hex264af4c4

642446532 has 192 divisors, whose sum is σ = 2069760000. Its totient is φ = 167806080.

The previous prime is 642446527. The next prime is 642446533. The reversal of 642446532 is 235644246.

642446532 is a `hidden beast` number, since 64 + 24 + 46 + 532 = 666.

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 (642446533) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1287219 + ... + 1287717.

It is an arithmetic number, because the mean of its divisors is an integer number (10780000).

Almost surely, 2642446532 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 642446532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1034880000).

642446532 is an abundant number, since it is smaller than the sum of its proper divisors (1427313468).

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

642446532 is a wasteful number, since it uses less digits than its factorization.

642446532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663 (or 655 counting only the distinct ones).

The product of its digits is 138240, while the sum is 36.

The square root of 642446532 is about 25346.5289931383. The cubic root of 642446532 is about 862.8705825293.

The spelling of 642446532 in words is "six hundred forty-two million, four hundred forty-six thousand, five hundred thirty-two".