Search a number
-
+
643879056 = 24376117627
BaseRepresentation
bin100110011000001…
…101000010010000
31122212120110000110
4212120031002100
52304313112211
6143520321320
721645611262
oct4630150220
91585513013
10643879056
113004a8957
1215b773240
13a351cc32
1461729b32
153b7d8ea6
hex2660d090

643879056 has 40 divisors (see below), whose sum is σ = 1665634464. Its totient is φ = 214332160.

The previous prime is 643879051. The next prime is 643879079. The reversal of 643879056 is 650978346.

It is a super-2 number, since 2×6438790562 = 829160477510902272, which contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 643878996 and 643879014.

It is not an unprimeable number, because it can be changed into a prime (643879051) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27715 + ... + 45341.

Almost surely, 2643879056 is an apocalyptic number.

It is an amenable number.

643879056 is an abundant number, since it is smaller than the sum of its proper divisors (1021755408).

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

643879056 is a wasteful number, since it uses less digits than its factorization.

643879056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18399 (or 18393 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The square root of 643879056 is about 25374.7720383849. The cubic root of 643879056 is about 863.5114479068.

The spelling of 643879056 in words is "six hundred forty-three million, eight hundred seventy-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 761 1522 2283 3044 4566 6088 9132 12176 17627 18264 35254 36528 52881 70508 105762 141016 211524 282032 423048 846096 13414147 26828294 40242441 53656588 80484882 107313176 160969764 214626352 321939528 643879056