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561426642 = 23272328423
BaseRepresentation
bin100001011101101…
…011000011010010
31110010102102120100
4201131223003102
52122211123032
6131413153230
716625022240
oct4135530322
91403372510
10561426642
11268a02167
1213802b816
138c41151a
14547c5790
153444d97c
hex2176b0d2

561426642 has 72 divisors (see below), whose sum is σ = 1453443264. Its totient is φ = 153415152.

The previous prime is 561426629. The next prime is 561426661. The reversal of 561426642 is 246624165.

561426642 is a `hidden beast` number, since 5 + 6 + 1 + 4 + 2 + 6 + 642 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 561426597 and 561426606.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 62443 + ... + 70865.

It is an arithmetic number, because the mean of its divisors is an integer number (20186712).

Almost surely, 2561426642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 561426642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726721632).

561426642 is an abundant number, since it is smaller than the sum of its proper divisors (892016622).

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

561426642 is a wasteful number, since it uses less digits than its factorization.

561426642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8484 (or 8458 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 561426642 is about 23694.4432726325. The cubic root of 561426642 is about 824.9564186345.

The spelling of 561426642 in words is "five hundred sixty-one million, four hundred twenty-six thousand, six hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 23 42 46 63 69 126 138 161 207 322 414 483 529 966 1058 1449 1587 2898 3174 3703 4761 7406 8423 9522 11109 16846 22218 25269 33327 50538 58961 66654 75807 117922 151614 176883 193729 353766 387458 530649 581187 1061298 1162374 1356103 1743561 2712206 3487122 4068309 4455767 8136618 8911534 12204927 13367301 24409854 26734602 31190369 40101903 62380738 80203806 93571107 187142214 280713321 561426642