Search a number
-
+
642677336 = 23724633541
BaseRepresentation
bin100110010011100…
…111101001011000
31122210022101120022
4212103213221120
52304011133321
6143434450012
721632444600
oct4623475130
91583271508
10642677336
112aa857aa4
1215b293908
13a31bbc62
14614d5c00
153b64cdab
hex264e7a58

642677336 has 48 divisors (see below), whose sum is σ = 1405182240. Its totient is φ = 274760640.

The previous prime is 642677297. The next prime is 642677353. The reversal of 642677336 is 633776246.

642677336 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 11 ways as a sum of consecutive naturals, for example, 179726 + ... + 183266.

It is an arithmetic number, because the mean of its divisors is an integer number (29274630).

Almost surely, 2642677336 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 642677336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702591120).

642677336 is an abundant number, since it is smaller than the sum of its proper divisors (762504904).

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

642677336 is a wasteful number, since it uses less digits than its factorization.

642677336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4024 (or 4013 counting only the distinct ones).

The product of its digits is 762048, while the sum is 44.

The square root of 642677336 is about 25351.0815548371. The cubic root of 642677336 is about 862.9739011857.

The spelling of 642677336 in words is "six hundred forty-two million, six hundred seventy-seven thousand, three hundred thirty-six".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 392 463 926 1852 3241 3541 3704 6482 7082 12964 14164 22687 24787 25928 28328 45374 49574 90748 99148 173509 181496 198296 347018 694036 1388072 1639483 3278966 6557932 11476381 13115864 22952762 45905524 80334667 91811048 160669334 321338668 642677336