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48882288 = 24371319231
BaseRepresentation
bin1011101001111…
…0001001110000
310101222110220010
42322132021300
5100003213123
64503414520
71132330650
oct272361160
9111873803
1048882288
1125657a94
1214454440
13a186740
1466c6360
154458993
hex2e9e270

48882288 has 240 divisors, whose sum is σ = 169322496. Its totient is φ = 11819520.

The previous prime is 48882287. The next prime is 48882299. The reversal of 48882288 is 88228884.

48882288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×488822882 = 4778956160229888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (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 (48882287) 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 47 ways as a sum of consecutive naturals, for example, 1576833 + ... + 1576863.

Almost surely, 248882288 is an apocalyptic number.

48882288 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48882288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84661248).

48882288 is an abundant number, since it is smaller than the sum of its proper divisors (120440208).

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

48882288 is a wasteful number, since it uses less digits than its factorization.

48882288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 75 counting only the distinct ones).

The product of its digits is 524288, while the sum is 48.

The square root of 48882288 is about 6991.5869443210. The cubic root of 48882288 is about 365.6373127857.

The spelling of 48882288 in words is "forty-eight million, eight hundred eighty-two thousand, two hundred eighty-eight".