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48117408 = 253501223
BaseRepresentation
bin1011011110001…
…1011010100000
310100112121200020
42313203122200
544304224113
64435153440
71122663663
oct267433240
9110477606
1048117408
1125185359
1214145880
139c79551
1465676da
154357023
hex2de36a0

48117408 has 24 divisors (see below), whose sum is σ = 126308448. Its totient is φ = 16039104.

The previous prime is 48117401. The next prime is 48117413. The reversal of 48117408 is 80471184.

48117408 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 (24).

It is not an unprimeable number, because it can be changed into a prime (48117401) 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 3 ways as a sum of consecutive naturals, for example, 250516 + ... + 250707.

It is an arithmetic number, because the mean of its divisors is an integer number (5262852).

Almost surely, 248117408 is an apocalyptic number.

48117408 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

48117408 is an abundant number, since it is smaller than the sum of its proper divisors (78191040).

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

48117408 is a wasteful number, since it uses less digits than its factorization.

48117408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501236 (or 501228 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 33.

The square root of 48117408 is about 6936.6712477960. The cubic root of 48117408 is about 363.7201890993.

The spelling of 48117408 in words is "forty-eight million, one hundred seventeen thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 501223 1002446 1503669 2004892 3007338 4009784 6014676 8019568 12029352 16039136 24058704 48117408