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642692876 = 22741737669
BaseRepresentation
bin100110010011101…
…011011100001100
31122210100011212212
4212103223130030
52304012133001
6143435045552
721632541110
oct4623533414
91583304785
10642692876
112aa868741
1215b2a08b8
13a31c6057
14614db740
153b6527bb
hex264eb70c

642692876 has 48 divisors (see below), whose sum is σ = 1334948160. Its totient is φ = 265006080.

The previous prime is 642692873. The next prime is 642692909. The reversal of 642692876 is 678296246.

It is a happy number.

642692876 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×6426928762 = 826108265722302752, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (642692873) 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, 79970 + ... + 87638.

It is an arithmetic number, because the mean of its divisors is an integer number (27811420).

Almost surely, 2642692876 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 642692876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667474080).

642692876 is an abundant number, since it is smaller than the sum of its proper divisors (692255284).

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

642692876 is a wasteful number, since it uses less digits than its factorization.

642692876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7794 (or 7792 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 50.

The square root of 642692876 is about 25351.3880487834. The cubic root of 642692876 is about 862.9808567270.

The spelling of 642692876 in words is "six hundred forty-two million, six hundred ninety-two thousand, eight hundred seventy-six".

Divisors: 1 2 4 7 14 28 41 73 82 146 164 287 292 511 574 1022 1148 2044 2993 5986 7669 11972 15338 20951 30676 41902 53683 83804 107366 214732 314429 559837 628858 1119674 1257716 2201003 2239348 3918859 4402006 7837718 8804012 15675436 22953317 45906634 91813268 160673219 321346438 642692876