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48840288 = 253772679
BaseRepresentation
bin1011101001001…
…1111001100000
310101220100021120
42322103321200
5100000342123
64502452240
71132064340
oct272237140
9111810246
1048840288
1125629482
1214434080
13a1705a3
1466b4d20
15444b2e3
hex2e93e60

48840288 has 48 divisors (see below), whose sum is σ = 146522880. Its totient is φ = 13954176.

The previous prime is 48840251. The next prime is 48840289. The reversal of 48840288 is 88204884.

48840288 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 (48).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48840289) 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, 35668 + ... + 37011.

It is an arithmetic number, because the mean of its divisors is an integer number (3052560).

Almost surely, 248840288 is an apocalyptic number.

48840288 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

48840288 is an abundant number, since it is smaller than the sum of its proper divisors (97682592).

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

48840288 is a wasteful number, since it uses less digits than its factorization.

48840288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72699 (or 72691 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 42.

The square root of 48840288 is about 6988.5826889291. The cubic root of 48840288 is about 365.5325634100.

The spelling of 48840288 in words is "forty-eight million, eight hundred forty thousand, two hundred eighty-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 72679 145358 218037 290716 436074 508753 581432 872148 1017506 1162864 1526259 1744296 2035012 2325728 3052518 3488592 4070024 6105036 6977184 8140048 12210072 16280096 24420144 48840288