Search a number
-
+
643226848 = 25117923131
BaseRepresentation
bin100110010101101…
…101110011100000
31122211100022100121
4212111231303200
52304131224343
6143454330024
721640223635
oct4625556340
91584308317
10643226848
113000a2940
1215b4b9914
13a3352104
14615da18c
153b70aaed
hex2656dce0

643226848 has 48 divisors (see below), whose sum is σ = 1399023360. Its totient is φ = 288662400.

The previous prime is 643226839. The next prime is 643226911. The reversal of 643226848 is 848622346.

643226848 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 16243 + ... + 39373.

It is an arithmetic number, because the mean of its divisors is an integer number (29146320).

Almost surely, 2643226848 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 643226848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699511680).

643226848 is an abundant number, since it is smaller than the sum of its proper divisors (755796512).

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

643226848 is a wasteful number, since it uses less digits than its factorization.

643226848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23231 (or 23223 counting only the distinct ones).

The product of its digits is 442368, while the sum is 43.

The square root of 643226848 is about 25361.9172776823. The cubic root of 643226848 is about 863.2197889198.

The spelling of 643226848 in words is "six hundred forty-three million, two hundred twenty-six thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 79 88 158 176 316 352 632 869 1264 1738 2528 3476 6952 13904 23131 27808 46262 92524 185048 254441 370096 508882 740192 1017764 1827349 2035528 3654698 4071056 7309396 8142112 14618792 20100839 29237584 40201678 58475168 80403356 160806712 321613424 643226848