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642809992 = 2311113127509
BaseRepresentation
bin100110010100001…
…000000010001000
31122210120010112111
4212110020002020
52304024404432
6143441352104
721633536416
oct4624100210
91583503474
10642809992
112aa938730
1215b338634
13a3237456
146152c2b6
153b677347
hex26508088

642809992 has 64 divisors (see below), whose sum is σ = 1339545600. Its totient is φ = 286755840.

The previous prime is 642809987. The next prime is 642810019. The reversal of 642809992 is 299908246.

It is a happy 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, 1262634 + ... + 1263142.

It is an arithmetic number, because the mean of its divisors is an integer number (20930400).

Almost surely, 2642809992 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 642809992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669772800).

642809992 is an abundant number, since it is smaller than the sum of its proper divisors (696735608).

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

642809992 is a wasteful number, since it uses less digits than its factorization.

642809992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 49.

The square root of 642809992 is about 25353.6977973628. The cubic root of 642809992 is about 863.0332730165.

The spelling of 642809992 in words is "six hundred forty-two million, eight hundred nine thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 11 22 44 88 113 127 226 254 452 508 509 904 1016 1018 1243 1397 2036 2486 2794 4072 4972 5588 5599 9944 11176 11198 14351 22396 28702 44792 57404 57517 64643 114808 115034 129286 157861 230068 258572 315722 460136 517144 631444 632687 711073 1262888 1265374 1422146 2530748 2844292 5061496 5688584 7304659 14609318 29218636 58437272 80351249 160702498 321404996 642809992