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643892640 = 25351341443
BaseRepresentation
bin100110011000010…
…000010110100000
31122212121010122120
4212120100112200
52304314031030
6143520504240
721645666006
oct4630202640
91585533576
10643892640
11300508086
1215b77b080
13a3526181
1461730a76
153b7dd010
hex266105a0

643892640 has 48 divisors (see below), whose sum is σ = 2028263328. Its totient is φ = 171704576.

The previous prime is 643892633. The next prime is 643892651. The reversal of 643892640 is 46298346.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 643892592 and 643892601.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 670242 + ... + 671201.

It is an arithmetic number, because the mean of its divisors is an integer number (42255486).

Almost surely, 2643892640 is an apocalyptic number.

643892640 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

643892640 is an abundant number, since it is smaller than the sum of its proper divisors (1384370688).

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

643892640 is a wasteful number, since it uses less digits than its factorization.

643892640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1341461 (or 1341453 counting only the distinct ones).

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

The square root of 643892640 is about 25375.0397044024. The cubic root of 643892640 is about 863.5175204018.

The spelling of 643892640 in words is "six hundred forty-three million, eight hundred ninety-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 1341443 2682886 4024329 5365772 6707215 8048658 10731544 13414430 16097316 20121645 21463088 26828860 32194632 40243290 42926176 53657720 64389264 80486580 107315440 128778528 160973160 214630880 321946320 643892640