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48135285 = 32511472069
BaseRepresentation
bin1011011110011…
…1110001110101
310100120112012100
42313213301311
544310312120
64435412313
71123100052
oct267476165
9110515170
1048135285
1125197830
1214154099
139c84723
146570029
15435c490
hex2de7c75

48135285 has 48 divisors (see below), whose sum is σ = 93000960. Its totient is φ = 22830720.

The previous prime is 48135259. The next prime is 48135293. The reversal of 48135285 is 58253184.

It is a happy number.

It is not a de Polignac number, because 48135285 - 28 = 48135029 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 (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22231 + ... + 24299.

It is an arithmetic number, because the mean of its divisors is an integer number (1937520).

Almost surely, 248135285 is an apocalyptic number.

48135285 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

48135285 is a deficient number, since it is larger than the sum of its proper divisors (44865675).

48135285 is a wasteful number, since it uses less digits than its factorization.

48135285 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2138 (or 2135 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 48135285 is about 6937.9597144982. The cubic root of 48135285 is about 363.7652276900.

The spelling of 48135285 in words is "forty-eight million, one hundred thirty-five thousand, two hundred eighty-five".

Divisors: 1 3 5 9 11 15 33 45 47 55 99 141 165 235 423 495 517 705 1551 2069 2115 2585 4653 6207 7755 10345 18621 22759 23265 31035 68277 93105 97243 113795 204831 291729 341385 486215 875187 1024155 1069673 1458645 3209019 4375935 5348365 9627057 16045095 48135285