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56506333 = 1322571301
BaseRepresentation
bin1101011110001…
…1011111011101
310221022211010011
43113203133131
5103431200313
65335043221
71254203332
oct327433735
9127284104
1056506333
1129995054
1216b10511
13b925a00
14770c989
154e6293d
hex35e37dd

56506333 has 12 divisors (see below), whose sum is σ = 61472628. Its totient is φ = 51916800.

The previous prime is 56506319. The next prime is 56506337. The reversal of 56506333 is 33360565.

It can be written as a sum of positive squares in 6 ways, for example, as 9966649 + 46539684 = 3157^2 + 6822^2 .

It is not a de Polignac number, because 56506333 - 25 = 56506301 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 56506295 and 56506304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56506337) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42783 + ... + 44083.

It is an arithmetic number, because the mean of its divisors is an integer number (5122719).

Almost surely, 256506333 is an apocalyptic number.

It is an amenable number.

56506333 is a deficient number, since it is larger than the sum of its proper divisors (4966295).

56506333 is a wasteful number, since it uses less digits than its factorization.

56506333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1584 (or 1571 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 31.

The square root of 56506333 is about 7517.0694422760. The cubic root of 56506333 is about 383.7358503273.

Adding to 56506333 its reverse (33360565), we get a palindrome (89866898).

The spelling of 56506333 in words is "fifty-six million, five hundred six thousand, three hundred thirty-three".

Divisors: 1 13 169 257 1301 3341 16913 43433 219869 334357 4346641 56506333