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48153312 = 253355733
BaseRepresentation
bin1011011110110…
…0001011100000
310100121102221000
42313230023200
544311401222
64440032000
71123203444
oct267541340
9110542830
1048153312
11251aa329
1214162600
139c8c9ac
146576824
1543629ac
hex2dec2e0

48153312 has 48 divisors (see below), whose sum is σ = 140449680. Its totient is φ = 16050816.

The previous prime is 48153271. The next prime is 48153331. The reversal of 48153312 is 21335184.

It is a happy number.

48153312 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 (27).

It is a congruent number.

It is an unprimeable number.

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, 27003 + ... + 28730.

It is an arithmetic number, because the mean of its divisors is an integer number (2926035).

Almost surely, 248153312 is an apocalyptic number.

It is an amenable number.

48153312 is an abundant number, since it is smaller than the sum of its proper divisors (92296368).

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

48153312 is a wasteful number, since it uses less digits than its factorization.

48153312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55752 (or 55738 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 48153312 is about 6939.2587500395. The cubic root of 48153312 is about 363.8106328940.

Adding to 48153312 its reverse (21335184), we get a palindrome (69488496).

The spelling of 48153312 in words is "forty-eight million, one hundred fifty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 55733 111466 167199 222932 334398 445864 501597 668796 891728 1003194 1337592 1504791 1783456 2006388 2675184 3009582 4012776 5350368 6019164 8025552 12038328 16051104 24076656 48153312