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642949242 = 231379151691
BaseRepresentation
bin100110010100101…
…010000001111010
31122210211012112220
4212110222001322
52304043333432
6143444344510
721634656405
oct4624520172
91583735486
10642949242
112aaa23311
1215b3a5136
13a3285950
1461566d3c
153b6a372c
hex2652a07a

642949242 has 64 divisors (see below), whose sum is σ = 1413672960. Its totient is φ = 193752000.

The previous prime is 642949193. The next prime is 642949267. The reversal of 642949242 is 242949246.

It is a junction number, because it is equal to n+sod(n) for n = 642949194 and 642949203.

It is an unprimeable number.

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, 930117 + ... + 930807.

It is an arithmetic number, because the mean of its divisors is an integer number (22088640).

Almost surely, 2642949242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 642949242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706836480).

642949242 is an abundant number, since it is smaller than the sum of its proper divisors (770723718).

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

642949242 is a wasteful number, since it uses less digits than its factorization.

642949242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 939.

The product of its digits is 248832, while the sum is 42.

The square root of 642949242 is about 25356.4437964002. The cubic root of 642949242 is about 863.0955872866.

It can be divided in two parts, 64294 and 9242, that added together give a triangular number (73536 = T383).

The spelling of 642949242 in words is "six hundred forty-two million, nine hundred forty-nine thousand, two hundred forty-two".

Divisors: 1 2 3 6 13 26 39 78 79 151 158 237 302 453 474 691 906 1027 1382 1963 2054 2073 3081 3926 4146 5889 6162 8983 11778 11929 17966 23858 26949 35787 53898 54589 71574 104341 109178 155077 163767 208682 310154 313023 327534 465231 626046 709657 930462 1356433 1419314 2128971 2712866 4069299 4257942 8138598 8242939 16485878 24728817 49457634 107158207 214316414 321474621 642949242