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642943680 = 2635669733
BaseRepresentation
bin100110010100101…
…000101011000000
31122210210220220220
4212110220223000
52304043144210
6143444303040
721634634241
oct4624505300
91583726826
10642943680
112aaa1a115
1215b3a1a80
13a3283262
1461564cc8
153b6a1c70
hex26528ac0

642943680 has 56 divisors (see below), whose sum is σ = 2041349232. Its totient is φ = 171451392.

The previous prime is 642943667. The next prime is 642943681. The reversal of 642943680 is 86349246.

It is a happy number.

It is a super-3 number, since 3×6429436803 (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (642943681) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 333907 + ... + 335826.

Almost surely, 2642943680 is an apocalyptic number.

642943680 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

642943680 is an abundant number, since it is smaller than the sum of its proper divisors (1398405552).

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

642943680 is a wasteful number, since it uses less digits than its factorization.

642943680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669753 (or 669743 counting only the distinct ones).

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

The square root of 642943680 is about 25356.3341198999. The cubic root of 642943680 is about 863.0930984683.

The spelling of 642943680 in words is "six hundred forty-two million, nine hundred forty-three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 669733 1339466 2009199 2678932 3348665 4018398 5357864 6697330 8036796 10045995 10715728 13394660 16073592 20091990 21431456 26789320 32147184 40183980 42862912 53578640 64294368 80367960 107157280 128588736 160735920 214314560 321471840 642943680