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562625056 = 25722912373
BaseRepresentation
bin100001100010001…
…111101000100000
31110012200022111001
4201202033220200
52123013000211
6131455001344
716641143200
oct4142175040
91405608431
10562625056
11269650594
12138509254
138c740b46
1454a18400
15345d8ac1
hex2188fa20

562625056 has 72 divisors (see below), whose sum is σ = 1333051020. Its totient is φ = 232791552.

The previous prime is 562625053. The next prime is 562625059. The reversal of 562625056 is 650526265.

It is an interprime number because it is at equal distance from previous prime (562625053) and next prime (562625059).

It can be written as a sum of positive squares in 2 ways, for example, as 562448656 + 176400 = 23716^2 + 420^2 .

It is not an unprimeable number, because it can be changed into a prime (562625053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39286 + ... + 51658.

Almost surely, 2562625056 is an apocalyptic number.

562625056 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 562625056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666525510).

562625056 is an abundant number, since it is smaller than the sum of its proper divisors (770425964).

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

562625056 is a wasteful number, since it uses less digits than its factorization.

562625056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12426 (or 12411 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 37.

The square root of 562625056 is about 23719.7187167133. The cubic root of 562625056 is about 825.5429818854.

The spelling of 562625056 in words is "five hundred sixty-two million, six hundred twenty-five thousand, fifty-six".

Divisors: 1 2 4 7 8 14 16 28 29 32 49 56 58 98 112 116 196 203 224 232 392 406 464 784 812 928 1421 1568 1624 2842 3248 5684 6496 11368 12373 22736 24746 45472 49492 86611 98984 173222 197968 346444 358817 395936 606277 692888 717634 1212554 1385776 1435268 2425108 2511719 2771552 2870536 4850216 5023438 5741072 9700432 10046876 11482144 17582033 19400864 20093752 35164066 40187504 70328132 80375008 140656264 281312528 562625056