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642171882 = 2311293179137
BaseRepresentation
bin100110010001101…
…100001111101010
31122202100201012210
4212101230033222
52303344000012
6143415545550
721625241142
oct4621541752
91582321183
10642171882
112aa542270
1215b08b2b6
13a3072b81
1461403922
153b59d23c
hex2646c3ea

642171882 has 128 divisors (see below), whose sum is σ = 1526169600. Its totient is φ = 178214400.

The previous prime is 642171863. The next prime is 642171883. The reversal of 642171882 is 288171246.

It is a happy number.

642171882 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 642171882.

It is not an unprimeable number, because it can be changed into a prime (642171883) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4687318 + ... + 4687454.

It is an arithmetic number, because the mean of its divisors is an integer number (11923200).

Almost surely, 2642171882 is an apocalyptic number.

642171882 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 642171882, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763084800).

642171882 is an abundant number, since it is smaller than the sum of its proper divisors (883997718).

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

642171882 is a wasteful number, since it uses less digits than its factorization.

642171882 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292.

The product of its digits is 43008, while the sum is 39.

The square root of 642171882 is about 25341.1105123671. The cubic root of 642171882 is about 862.7476041060.

The spelling of 642171882 in words is "six hundred forty-two million, one hundred seventy-one thousand, eight hundred eighty-two".

Divisors: 1 2 3 6 11 22 29 31 33 58 62 66 79 87 93 137 158 174 186 237 274 319 341 411 474 638 682 822 869 899 957 1023 1507 1738 1798 1914 2046 2291 2449 2607 2697 3014 3973 4247 4521 4582 4898 5214 5394 6873 7347 7946 8494 9042 9889 10823 11919 12741 13746 14694 19778 21646 23838 25201 25482 26939 29667 32469 43703 46717 50402 53878 59334 64938 71021 75603 80817 87406 93434 119053 123163 131109 140151 142042 151206 161634 213063 238106 246326 262218 280302 313867 335513 357159 369489 426126 627734 671026 714318 738978 781231 941601 1006539 1354793 1562462 1883202 2013078 2343693 2709586 3452537 3690643 4064379 4687386 6905074 7381286 8128758 9729877 10357611 11071929 19459754 20715222 22143858 29189631 58379262 107028647 214057294 321085941 642171882