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48133125 = 325443199
BaseRepresentation
bin1011011110011…
…1010000000101
310100120102020100
42313213100011
544310230000
64435354313
71123060545
oct267472005
9110512210
1048133125
1125196147
1214152999
139c83751
14656d325
15435ba00
hex2de7405

48133125 has 60 divisors (see below), whose sum is σ = 89346400. Its totient is φ = 24948000.

The previous prime is 48133117. The next prime is 48133147. The reversal of 48133125 is 52133184.

It is a happy number.

48133125 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 48133125 - 23 = 48133117 is a prime.

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 59 ways as a sum of consecutive naturals, for example, 241776 + ... + 241974.

Almost surely, 248133125 is an apocalyptic number.

48133125 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

48133125 is a deficient number, since it is larger than the sum of its proper divisors (41213275).

48133125 is a wasteful number, since it uses less digits than its factorization.

48133125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 250 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 48133125 is about 6937.8040473914. The cubic root of 48133125 is about 363.7597864657.

The spelling of 48133125 in words is "forty-eight million, one hundred thirty-three thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 43 45 75 125 129 199 215 225 375 387 597 625 645 995 1075 1125 1791 1875 1935 2985 3225 4975 5375 5625 8557 8955 9675 14925 16125 24875 25671 26875 42785 44775 48375 74625 77013 80625 124375 128355 213925 223875 241875 373125 385065 641775 1069625 1119375 1925325 3208875 5348125 9626625 16044375 48133125