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48117520 = 2451154679
BaseRepresentation
bin1011011110001…
…1011100010000
310100112121211101
42313203130100
544304230040
64435154144
71122664213
oct267433420
9110477741
1048117520
1125185450
1214145954
139c79609
14656777a
15435709a
hex2de3710

48117520 has 40 divisors (see below), whose sum is σ = 122045760. Its totient is φ = 17496960.

The previous prime is 48117499. The next prime is 48117521. The reversal of 48117520 is 2571184.

48117520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (48117521) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 26460 + ... + 28219.

It is an arithmetic number, because the mean of its divisors is an integer number (3051144).

Almost surely, 248117520 is an apocalyptic number.

48117520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48117520 is an abundant number, since it is smaller than the sum of its proper divisors (73928240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

48117520 is a wasteful number, since it uses less digits than its factorization.

48117520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54703 (or 54697 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 28.

The square root of 48117520 is about 6936.6793208278. The cubic root of 48117520 is about 363.7204713023.

The spelling of 48117520 in words is "forty-eight million, one hundred seventeen thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 54679 109358 218716 273395 437432 546790 601469 874864 1093580 1202938 2187160 2405876 3007345 4374320 4811752 6014690 9623504 12029380 24058760 48117520