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55875825 = 345241673
BaseRepresentation
bin1101010100100…
…1100011110001
310220010210020000
43111021203301
5103301011300
65313340213
71245636165
oct325114361
9126123200
1055875825
11295a4375
1216867669
13b764a25
1475c6ca5
154d8ac00
hex35498f1

55875825 has 60 divisors (see below), whose sum is σ = 106183308. Its totient is φ = 29030400.

The previous prime is 55875811. The next prime is 55875839. The reversal of 55875825 is 52857855.

55875825 is a `hidden beast` number, since 558 + 75 + 8 + 25 = 666.

55875825 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (55875811) and next prime (55875839).

It can be written as a sum of positive squares in 6 ways, for example, as 13417569 + 42458256 = 3663^2 + 6516^2 .

It is not a de Polignac number, because 55875825 - 26 = 55875761 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 82689 + ... + 83361.

Almost surely, 255875825 is an apocalyptic number.

It is an amenable number.

55875825 is a deficient number, since it is larger than the sum of its proper divisors (50307483).

55875825 is a wasteful number, since it uses less digits than its factorization.

55875825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736 (or 722 counting only the distinct ones).

The product of its digits is 560000, while the sum is 45.

The square root of 55875825 is about 7475.0133779145. The cubic root of 55875825 is about 382.3032436741.

The spelling of 55875825 in words is "fifty-five million, eight hundred seventy-five thousand, eight hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 41 45 75 81 123 135 205 225 369 405 615 673 675 1025 1107 1845 2019 2025 3075 3321 3365 5535 6057 9225 10095 16605 16825 18171 27593 27675 30285 50475 54513 82779 83025 90855 137965 151425 248337 272565 413895 454275 689825 745011 1241685 1362825 2069475 2235033 3725055 6208425 11175165 18625275 55875825