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642944544 = 25311896841
BaseRepresentation
bin100110010100101…
…000111000100000
31122210210222002220
4212110220320200
52304043211134
6143444311040
721634636614
oct4624507040
91583728086
10642944544
112aaa1a830
1215b3a2480
13a3283778
1461565344
153b6a2149
hex26528e20

642944544 has 96 divisors (see below), whose sum is σ = 1862118720. Its totient is φ = 192614400.

The previous prime is 642944531. The next prime is 642944569. The reversal of 642944544 is 445449246.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 642944496 and 642944505.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90564 + ... + 97404.

It is an arithmetic number, because the mean of its divisors is an integer number (19397070).

Almost surely, 2642944544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 642944544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (931059360).

642944544 is an abundant number, since it is smaller than the sum of its proper divisors (1219174176).

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

642944544 is a wasteful number, since it uses less digits than its factorization.

642944544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6954 (or 6946 counting only the distinct ones).

The product of its digits is 552960, while the sum is 42.

The square root of 642944544 is about 25356.3511570573. The cubic root of 642944544 is about 863.0934850818.

The spelling of 642944544 in words is "six hundred forty-two million, nine hundred forty-four thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 89 96 132 176 178 264 267 352 356 528 534 712 979 1056 1068 1424 1958 2136 2848 2937 3916 4272 5874 6841 7832 8544 11748 13682 15664 20523 23496 27364 31328 41046 46992 54728 75251 82092 93984 109456 150502 164184 218912 225753 301004 328368 451506 602008 608849 656736 903012 1204016 1217698 1806024 1826547 2408032 2435396 3612048 3653094 4870792 6697339 7224096 7306188 9741584 13394678 14612376 19483168 20092017 26789356 29224752 40184034 53578712 58449504 80368068 107157424 160736136 214314848 321472272 642944544