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642500652 = 2231730710259
BaseRepresentation
bin100110010010111…
…100100000101100
31122202222102012110
4212102330200230
52303440010102
6143431004020
721631110513
oct4622744054
91582872173
10642500652
112aa747282
1215b209610
13a3159701
146148b67a
153b61586c
hex264bc82c

642500652 has 48 divisors (see below), whose sum is σ = 1592680320. Its totient is φ = 200892672.

The previous prime is 642500647. The next prime is 642500657. The reversal of 642500652 is 256005246.

It is an interprime number because it is at equal distance from previous prime (642500647) and next prime (642500657).

It is not an unprimeable number, because it can be changed into a prime (642500657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57499 + ... + 67757.

It is an arithmetic number, because the mean of its divisors is an integer number (33180840).

Almost surely, 2642500652 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 642500652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796340160).

642500652 is an abundant number, since it is smaller than the sum of its proper divisors (950179668).

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

642500652 is a wasteful number, since it uses less digits than its factorization.

642500652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10590 (or 10588 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 642500652 is about 25347.5965724563. The cubic root of 642500652 is about 862.8948113911.

Adding to 642500652 its reverse (256005246), we get a palindrome (898505898).

The spelling of 642500652 in words is "six hundred forty-two million, five hundred thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 307 614 921 1228 1842 3684 5219 10259 10438 15657 20518 20876 30777 31314 41036 61554 62628 123108 174403 348806 523209 697612 1046418 2092836 3149513 6299026 9448539 12598052 18897078 37794156 53541721 107083442 160625163 214166884 321250326 642500652