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642917496 = 233137129023
BaseRepresentation
bin100110010100100…
…010010001111000
31122210202121000010
4212110202101320
52304041324441
6143443541520
721634465014
oct4624422170
91583677003
10642917496
112aaa01481
1215b38a8a0
13a3274370
1461559544
153b699116
hex26522478

642917496 has 64 divisors (see below), whose sum is σ = 1755371520. Its totient is φ = 195027840.

The previous prime is 642917489. The next prime is 642917531. The reversal of 642917496 is 694719246.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7641 + ... + 36663.

It is an arithmetic number, because the mean of its divisors is an integer number (27427680).

Almost surely, 2642917496 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 642917496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (877685760).

642917496 is an abundant number, since it is smaller than the sum of its proper divisors (1112454024).

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

642917496 is a wasteful number, since it uses less digits than its factorization.

642917496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29116 (or 29112 counting only the distinct ones).

The product of its digits is 653184, while the sum is 48.

The square root of 642917496 is about 25355.8177939502. The cubic root of 642917496 is about 863.0813817674.

The spelling of 642917496 in words is "six hundred forty-two million, nine hundred seventeen thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 71 78 104 142 156 213 284 312 426 568 852 923 1704 1846 2769 3692 5538 7384 11076 22152 29023 58046 87069 116092 174138 232184 348276 377299 696552 754598 1131897 1509196 2060633 2263794 3018392 4121266 4527588 6181899 8242532 9055176 12363798 16485064 24727596 26788229 49455192 53576458 80364687 107152916 160729374 214305832 321458748 642917496