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642324504 = 23359716389
BaseRepresentation
bin100110010010010…
…001100000011000
31122202122110120110
4212102101200120
52303413341004
6143423124320
721626445123
oct4622214030
91582573513
10642324504
112aa6369a8
1215b1436a0
13a30c7493
14614433ba
153b5cd589
hex26491818

642324504 has 64 divisors (see below), whose sum is σ = 1656288000. Its totient is φ = 207482240.

The previous prime is 642324503. The next prime is 642324569. The reversal of 642324504 is 405423246.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642324503) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97342 + ... + 103730.

It is an arithmetic number, because the mean of its divisors is an integer number (25879500).

Almost surely, 2642324504 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 642324504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (828144000).

642324504 is an abundant number, since it is smaller than the sum of its proper divisors (1013963496).

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

642324504 is a wasteful number, since it uses less digits than its factorization.

642324504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6528 (or 6524 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

The square root of 642324504 is about 25344.1216853139. The cubic root of 642324504 is about 862.8159470935.

The spelling of 642324504 in words is "six hundred forty-two million, three hundred twenty-four thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 24 59 71 118 142 177 213 236 284 354 426 472 568 708 852 1416 1704 4189 6389 8378 12567 12778 16756 19167 25134 25556 33512 38334 50268 51112 76668 100536 153336 376951 453619 753902 907238 1130853 1360857 1507804 1814476 2261706 2721714 3015608 3628952 4523412 5443428 9046824 10886856 26763521 53527042 80290563 107054084 160581126 214108168 321162252 642324504