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642530496 = 26329167691
BaseRepresentation
bin100110010011000…
…011110011000000
31122210000221010210
4212103003303000
52303441433441
6143431354120
721631263516
oct4623036300
91583027123
10642530496
112aa767743
1215b222940
13a316a17a
14614984b6
153b61e616
hex264c3cc0

642530496 has 112 divisors (see below), whose sum is σ = 1771741440. Its totient is φ = 205255680.

The previous prime is 642530491. The next prime is 642530509. The reversal of 642530496 is 694035246.

It is not an unprimeable number, because it can be changed into a prime (642530491) 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, 929511 + ... + 930201.

It is an arithmetic number, because the mean of its divisors is an integer number (15819120).

Almost surely, 2642530496 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 642530496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (885870720).

642530496 is an abundant number, since it is smaller than the sum of its proper divisors (1129210944).

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

642530496 is a wasteful number, since it uses less digits than its factorization.

642530496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 902 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 39.

The square root of 642530496 is about 25348.1852604876. The cubic root of 642530496 is about 862.9081716027.

The spelling of 642530496 in words is "six hundred forty-two million, five hundred thirty thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 167 174 192 232 334 348 464 501 668 691 696 928 1002 1336 1382 1392 1856 2004 2073 2672 2764 2784 4008 4146 4843 5344 5528 5568 8016 8292 9686 10688 11056 14529 16032 16584 19372 20039 22112 29058 32064 33168 38744 40078 44224 58116 60117 66336 77488 80156 115397 116232 120234 132672 154976 160312 230794 232464 240468 309952 320624 346191 461588 464928 480936 641248 692382 923176 929856 961872 1282496 1384764 1846352 1923744 2769528 3346513 3692704 3847488 5539056 6693026 7385408 10039539 11078112 13386052 20079078 22156224 26772104 40158156 53544208 80316312 107088416 160632624 214176832 321265248 642530496