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642102444 = 223317349729
BaseRepresentation
bin100110010001011…
…011010010101100
31122202020011222000
4212101123102230
52303334234234
6143414252300
721624531534
oct4621332254
91582204860
10642102444
112aa4a5085
1215b057090
13a304a399
14613c64c4
153b587899
hex2645b4ac

642102444 has 48 divisors (see below), whose sum is σ = 1762639200. Its totient is φ = 201443328.

The previous prime is 642102443. The next prime is 642102493. The reversal of 642102444 is 444201246.

It is a happy number.

642102444 is a `hidden beast` number, since 6 + 4 + 210 + 2 + 444 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (642102443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 173029 + ... + 176700.

It is an arithmetic number, because the mean of its divisors is an integer number (36721650).

Almost surely, 2642102444 is an apocalyptic number.

It is an amenable number.

642102444 is an abundant number, since it is smaller than the sum of its proper divisors (1120536756).

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

642102444 is a wasteful number, since it uses less digits than its factorization.

642102444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349759 (or 349751 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 642102444 is about 25339.7404090886. The cubic root of 642102444 is about 862.7165067060.

The spelling of 642102444 in words is "six hundred forty-two million, one hundred two thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 153 204 306 459 612 918 1836 349729 699458 1049187 1398916 2098374 3147561 4196748 5945393 6295122 9442683 11890786 12590244 17836179 18885366 23781572 35672358 37770732 53508537 71344716 107017074 160525611 214034148 321051222 642102444