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642815690 = 2511311311439
BaseRepresentation
bin100110010100001…
…001011011001010
31122210120102100112
4212110021123022
52304030100230
6143441434322
721633562136
oct4624113312
91583512315
10642815690
112aa941a40
1215b33b9a2
13a3239c1a
14615303c6
153b678d95
hex265096ca

642815690 has 64 divisors (see below), whose sum is σ = 1313832960. Its totient is φ = 224328000.

The previous prime is 642815683. The next prime is 642815699. The reversal of 642815690 is 96518246.

It is a happy number.

It is a super-2 number, since 2×6428156902 = 826424022620352200, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (642815699) 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 31 ways as a sum of consecutive naturals, for example, 445991 + ... + 447429.

It is an arithmetic number, because the mean of its divisors is an integer number (20528640).

Almost surely, 2642815690 is an apocalyptic number.

642815690 is an abundant number, since it is smaller than the sum of its proper divisors (671017270).

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

642815690 is a wasteful number, since it uses less digits than its factorization.

642815690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1619.

The product of its (nonzero) digits is 103680, while the sum is 41.

The square root of 642815690 is about 25353.8101673102. The cubic root of 642815690 is about 863.0358230438.

It can be divided in two parts, 6428156 and 90, that added together give a palindrome (6428246).

The spelling of 642815690 in words is "six hundred forty-two million, eight hundred fifteen thousand, six hundred ninety".

Divisors: 1 2 5 10 11 22 31 55 62 110 131 155 262 310 341 655 682 1310 1439 1441 1705 2878 2882 3410 4061 7195 7205 8122 14390 14410 15829 20305 31658 40610 44609 44671 79145 89218 89342 158290 188509 223045 223355 377018 446090 446710 490699 942545 981398 1885090 2073599 2453495 4147198 4906990 5843779 10367995 11687558 20735990 29218895 58437790 64281569 128563138 321407845 642815690