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561605076 = 22352325121
BaseRepresentation
bin100001011110010…
…110100111010100
31110010202111100000
4201132112213110
52122232330301
6131421051300
716626364404
oct4136264724
91403674300
10561605076
1126901422a
121380b6b30
138c4747c6
1454830804
1534486786
hex217969d4

561605076 has 72 divisors (see below), whose sum is σ = 1536260544. Its totient is φ = 179055360.

The previous prime is 561605027. The next prime is 561605087. The reversal of 561605076 is 670506165.

It is a happy number.

561605076 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 2×5616050762 = 630800522777931552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 561605076.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9796 + ... + 34916.

It is an arithmetic number, because the mean of its divisors is an integer number (21336952).

Almost surely, 2561605076 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 561605076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768130272).

561605076 is an abundant number, since it is smaller than the sum of its proper divisors (974655468).

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

561605076 is a wasteful number, since it uses less digits than its factorization.

561605076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25163 (or 25149 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 561605076 is about 23698.2082867039. The cubic root of 561605076 is about 825.0438059384.

The spelling of 561605076 in words is "five hundred sixty-one million, six hundred five thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 81 92 108 138 162 207 243 276 324 414 486 621 828 972 1242 1863 2484 3726 5589 7452 11178 22356 25121 50242 75363 100484 150726 226089 301452 452178 577783 678267 904356 1155566 1356534 1733349 2034801 2311132 2713068 3466698 4069602 5200047 6104403 6933396 8139204 10400094 12208806 15600141 20800188 24417612 31200282 46800423 62400564 93600846 140401269 187201692 280802538 561605076