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642899656 = 237191075647
BaseRepresentation
bin100110010100011…
…101111011001000
31122210201200112101
4212110131323020
52304040242111
6143443323144
721634362010
oct4624357310
91583650471
10642899656
112aa99a033
1215b3804b4
13a32691c9
1461552c40
153b693bc1
hex2651dec8

642899656 has 64 divisors (see below), whose sum is σ = 1463961600. Its totient is φ = 258541632.

The previous prime is 642899651. The next prime is 642899683. The reversal of 642899656 is 656998246.

It is a happy number.

642899656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 642899597 and 642899606.

It is not an unprimeable number, because it can be changed into a prime (642899651) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111025 + ... + 116671.

It is an arithmetic number, because the mean of its divisors is an integer number (22874400).

Almost surely, 2642899656 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 642899656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731980800).

642899656 is an abundant number, since it is smaller than the sum of its proper divisors (821061944).

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

642899656 is a wasteful number, since it uses less digits than its factorization.

642899656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5786 (or 5782 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 55.

The square root of 642899656 is about 25355.4659984785. The cubic root of 642899656 is about 863.0733986206.

The spelling of 642899656 in words is "six hundred forty-two million, eight hundred ninety-nine thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 107 133 152 214 266 428 532 749 856 1064 1498 2033 2996 4066 5647 5992 8132 11294 14231 16264 22588 28462 39529 45176 56924 79058 107293 113848 158116 214586 316232 429172 604229 751051 858344 1208458 1502102 2416916 3004204 4229603 4833832 6008408 8459206 11480351 16918412 22960702 33836824 45921404 80362457 91842808 160724914 321449828 642899656