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48120268 = 22717432351
BaseRepresentation
bin1011011110010…
…0000111001100
310100112202121011
42313210013030
544304322033
64435215004
71123005220
oct267440714
9110482534
1048120268
1125187519
1214147464
139c7a941
146568780
154357ccd
hex2de41cc

48120268 has 48 divisors (see below), whose sum is σ = 104315904. Its totient is φ = 18950400.

The previous prime is 48120263. The next prime is 48120287. The reversal of 48120268 is 86202184.

48120268 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (48120263) 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 15 ways as a sum of consecutive naturals, for example, 19293 + ... + 21643.

It is an arithmetic number, because the mean of its divisors is an integer number (2173248).

Almost surely, 248120268 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 48120268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52157952).

48120268 is an abundant number, since it is smaller than the sum of its proper divisors (56195636).

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

48120268 is a wasteful number, since it uses less digits than its factorization.

48120268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2422 (or 2420 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 48120268 is about 6936.8773954857. The cubic root of 48120268 is about 363.7273952171.

The spelling of 48120268 in words is "forty-eight million, one hundred twenty thousand, two hundred sixty-eight".

Divisors: 1 2 4 7 14 17 28 34 43 68 86 119 172 238 301 476 602 731 1204 1462 2351 2924 4702 5117 9404 10234 16457 20468 32914 39967 65828 79934 101093 159868 202186 279769 404372 559538 707651 1119076 1415302 1718581 2830604 3437162 6874324 12030067 24060134 48120268