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48153392 = 2471912251
BaseRepresentation
bin1011011110110…
…0001100110000
310100121110000222
42313230030300
544311402032
64440032212
71123203620
oct267541460
9110543028
1048153392
11251aa3a1
1214162668
139c8ca41
146576880
154362a12
hex2dec330

48153392 has 40 divisors (see below), whose sum is σ = 107231232. Its totient is φ = 20520000.

The previous prime is 48153383. The next prime is 48153397. The reversal of 48153392 is 29335184.

48153392 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 2×481533922 = 4637498322211328, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (48153397) 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, 20267 + ... + 22517.

Almost surely, 248153392 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48153392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53615616).

48153392 is an abundant number, since it is smaller than the sum of its proper divisors (59077840).

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

48153392 is a wasteful number, since it uses less digits than its factorization.

48153392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2457 (or 2451 counting only the distinct ones).

The product of its digits is 25920, while the sum is 35.

The square root of 48153392 is about 6939.2645143416. The cubic root of 48153392 is about 363.8108343674.

The spelling of 48153392 in words is "forty-eight million, one hundred fifty-three thousand, three hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 56 112 191 382 764 1337 1528 2251 2674 3056 4502 5348 9004 10696 15757 18008 21392 31514 36016 63028 126056 252112 429941 859882 1719764 3009587 3439528 6019174 6879056 12038348 24076696 48153392