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48088625 = 5313101293
BaseRepresentation
bin1011011101110…
…0011000110001
310100111011012012
42313130120301
544302314000
64434412305
71122514034
oct267343061
9110434165
1048088625
1125165772
1214131095
139c69410
14655b01b
15434d735
hex2ddc631

48088625 has 32 divisors (see below), whose sum is σ = 65493792. Its totient is φ = 35040000.

The previous prime is 48088609. The next prime is 48088627. The reversal of 48088625 is 52688084.

48088625 = 49032 + 49042.

It can be written as a sum of positive squares in 16 ways, for example, as 16459249 + 31629376 = 4057^2 + 5624^2 .

It is not a de Polignac number, because 48088625 - 24 = 48088609 is a prime.

It is a super-3 number, since 3×480886253 (a number of 24 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (48088627) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 163979 + ... + 164271.

It is an arithmetic number, because the mean of its divisors is an integer number (2046681).

Almost surely, 248088625 is an apocalyptic number.

48088625 is the 4904-th centered square number.

It is an amenable number.

48088625 is a deficient number, since it is larger than the sum of its proper divisors (17405167).

48088625 is a wasteful number, since it uses less digits than its factorization.

48088625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 41.

The square root of 48088625 is about 6934.5962391476. The cubic root of 48088625 is about 363.6476509280.

The spelling of 48088625 in words is "forty-eight million, eighty-eight thousand, six hundred twenty-five".

Divisors: 1 5 13 25 65 101 125 293 325 505 1313 1465 1625 2525 3809 6565 7325 12625 19045 29593 32825 36625 95225 147965 164125 384709 476125 739825 1923545 3699125 9617725 48088625