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252256005 = 335671672
BaseRepresentation
bin11110000100100…
…01111100000101
3122120122221012000
433002101330011
51004034143010
641010415513
76152066151
oct1702217405
9576587160
10252256005
1111a434741
1270591599
1340352511
1425706061
151722c7c0
hexf091f05

252256005 has 48 divisors (see below), whose sum is σ = 457890240. Its totient is φ = 131734944.

The previous prime is 252255947. The next prime is 252256033. The reversal of 252256005 is 500652252.

252256005 is a `hidden beast` number, since 2 + 52 + 2 + 5 + 600 + 5 = 666.

It is not a de Polignac number, because 252256005 - 28 = 252255749 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 252256005.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 1510432 + ... + 1510598.

It is an arithmetic number, because the mean of its divisors is an integer number (9539380).

Almost surely, 2252256005 is an apocalyptic number.

It is an amenable number.

252256005 is a deficient number, since it is larger than the sum of its proper divisors (205634235).

252256005 is an equidigital number, since it uses as much as digits as its factorization.

252256005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 252256005 is about 15882.5692191157. The cubic root of 252256005 is about 631.8497788628.

The spelling of 252256005 in words is "two hundred fifty-two million, two hundred fifty-six thousand, five".

Divisors: 1 3 5 9 15 27 45 67 135 167 201 335 501 603 835 1005 1503 1809 2505 3015 4509 7515 9045 11189 22545 27889 33567 55945 83667 100701 139445 167835 251001 302103 418335 503505 753003 1255005 1510515 1868563 3765015 5605689 9342815 16817067 28028445 50451201 84085335 252256005