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642910686 = 2311292571307
BaseRepresentation
bin100110010100100…
…000100111011110
31122210202020122220
4212110200213132
52304041120221
6143443450210
721634436115
oct4624404736
91583666586
10642910686
112aa9a7350
1215b386966
13a3271232
1461556c7c
153b6970c6
hex265209de

642910686 has 64 divisors (see below), whose sum is σ = 1457844480. Its totient is φ = 187228160.

The previous prime is 642910637. The next prime is 642910687. The reversal of 642910686 is 686019246.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642910687) 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, 491245 + ... + 492551.

It is an arithmetic number, because the mean of its divisors is an integer number (22778820).

Almost surely, 2642910686 is an apocalyptic number.

642910686 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 642910686, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728922240).

642910686 is an abundant number, since it is smaller than the sum of its proper divisors (814933794).

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

642910686 is a wasteful number, since it uses less digits than its factorization.

642910686 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1609.

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 642910686 is about 25355.6835048870. The cubic root of 642910686 is about 863.0783344065.

The spelling of 642910686 in words is "six hundred forty-two million, nine hundred ten thousand, six hundred eighty-six".

Divisors: 1 2 3 6 11 22 29 33 58 66 87 174 257 319 514 638 771 957 1307 1542 1914 2614 2827 3921 5654 7453 7842 8481 14377 14906 16962 22359 28754 37903 43131 44718 75806 81983 86262 113709 163966 227418 245949 335899 416933 491898 671798 833866 1007697 1250799 2015394 2501598 3694889 7389778 9741071 11084667 19482142 22169334 29223213 58446426 107151781 214303562 321455343 642910686