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48383328 = 253771999
BaseRepresentation
bin1011100010010…
…0010101100000
310101001010110010
42320210111200
544341231303
64445004520
71125152160
oct270442540
9111033403
1048383328
1125347124
1214253740
13a0405b6
1465d65a0
1543aac03
hex2e24560

48383328 has 48 divisors (see below), whose sum is σ = 145152000. Its totient is φ = 13823616.

The previous prime is 48383327. The next prime is 48383341. The reversal of 48383328 is 82338384.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48383327) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35328 + ... + 36671.

It is an arithmetic number, because the mean of its divisors is an integer number (3024000).

Almost surely, 248383328 is an apocalyptic number.

48383328 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

48383328 is an abundant number, since it is smaller than the sum of its proper divisors (96768672).

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

48383328 is a wasteful number, since it uses less digits than its factorization.

48383328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72019 (or 72011 counting only the distinct ones).

The product of its digits is 110592, while the sum is 39.

The square root of 48383328 is about 6955.8125334141. The cubic root of 48383328 is about 364.3889896234.

It can be divided in two parts, 48 and 383328, that multiplied together give a cube (18399744 = 2643).

The spelling of 48383328 in words is "forty-eight million, three hundred eighty-three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 71999 143998 215997 287996 431994 503993 575992 863988 1007986 1151984 1511979 1727976 2015972 2303968 3023958 3455952 4031944 6047916 6911904 8063888 12095832 16127776 24191664 48383328