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642365046 = 23343674129
BaseRepresentation
bin100110010010011…
…011011001110110
31122202201112012000
4212102123121312
52303421140141
6143424040130
721630004251
oct4622333166
91582645160
10642365046
112aa664404
1215b163046
13a310ca7b
1461454098
153b5da5b6
hex2649b676

642365046 has 64 divisors (see below), whose sum is σ = 1482835200. Its totient is φ = 205970688.

The previous prime is 642365039. The next prime is 642365047. The reversal of 642365046 is 640563246.

642365046 is a `hidden beast` number, since 642 + 3 + 6 + 5 + 0 + 4 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 642365046.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642365047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 153510 + ... + 157638.

It is an arithmetic number, because the mean of its divisors is an integer number (23169300).

Almost surely, 2642365046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 642365046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741417600).

642365046 is an abundant number, since it is smaller than the sum of its proper divisors (840470154).

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

642365046 is a wasteful number, since it uses less digits than its factorization.

642365046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4250 (or 4244 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 642365046 is about 25344.9215031335. The cubic root of 642365046 is about 862.8340996773.

The spelling of 642365046 in words is "six hundred forty-two million, three hundred sixty-five thousand, forty-six".

Divisors: 1 2 3 6 9 18 27 43 54 67 86 129 134 201 258 387 402 603 774 1161 1206 1809 2322 2881 3618 4129 5762 8258 8643 12387 17286 24774 25929 37161 51858 74322 77787 111483 155574 177547 222966 276643 355094 532641 553286 829929 1065282 1597923 1659858 2489787 3195846 4793769 4979574 7469361 9587538 11895649 14938722 23791298 35686947 71373894 107060841 214121682 321182523 642365046