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48996144 = 2433113417
BaseRepresentation
bin1011101011100…
…1111100110000
310102012021002000
42322321330300
5100020334034
64510054000
71133313621
oct272717460
9112167060
1048996144
112572558a
12144aa300
13a1c6502
146715a48
15447c599
hex2eb9f30

48996144 has 40 divisors (see below), whose sum is σ = 140638320. Its totient is φ = 16331904.

The previous prime is 48996139. The next prime is 48996149. The reversal of 48996144 is 44169984.

It is an interprime number because it is at equal distance from previous prime (48996139) and next prime (48996149).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 48996144.

It is not an unprimeable number, because it can be changed into a prime (48996149) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56277 + ... + 57140.

It is an arithmetic number, because the mean of its divisors is an integer number (3515958).

Almost surely, 248996144 is an apocalyptic number.

It is an amenable number.

48996144 is an abundant number, since it is smaller than the sum of its proper divisors (91642176).

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

48996144 is a wasteful number, since it uses less digits than its factorization.

48996144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113434 (or 113422 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 48996144 is about 6999.7245660097. The cubic root of 48996144 is about 365.9209719186.

The spelling of 48996144 in words is "forty-eight million, nine hundred ninety-six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 113417 226834 340251 453668 680502 907336 1020753 1361004 1814672 2041506 2722008 3062259 4083012 5444016 6124518 8166024 12249036 16332048 24498072 48996144