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48113760 = 2535100237
BaseRepresentation
bin1011011110001…
…0100001100000
310100112102200010
42313202201200
544304120020
64435124520
71122650232
oct267424140
9110472603
1048113760
1125182642
1214143740
139c779a6
146566252
154355de0
hex2de2860

48113760 has 48 divisors (see below), whose sum is σ = 151559856. Its totient is φ = 12830208.

The previous prime is 48113753. The next prime is 48113777. The reversal of 48113760 is 6731184.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49639 + ... + 50598.

It is an arithmetic number, because the mean of its divisors is an integer number (3157497).

Almost surely, 248113760 is an apocalyptic number.

48113760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48113760 is an abundant number, since it is smaller than the sum of its proper divisors (103446096).

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

48113760 is a wasteful number, since it uses less digits than its factorization.

48113760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100255 (or 100247 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 48113760 is about 6936.4082924811. The cubic root of 48113760 is about 363.7109971053.

It can be divided in two parts, 481 and 13760, that added together give a palindrome (14241).

The spelling of 48113760 in words is "forty-eight million, one hundred thirteen thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 100237 200474 300711 400948 501185 601422 801896 1002370 1202844 1503555 1603792 2004740 2405688 3007110 3207584 4009480 4811376 6014220 8018960 9622752 12028440 16037920 24056880 48113760