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48780960 = 2535101627
BaseRepresentation
bin1011101000010…
…1011010100000
310101210022220020
42322011122200
544441442320
64501313440
71131426354
oct272053240
9111708806
1048780960
1125598948
1214405880
13a14c597
14669b464
154438940
hex2e856a0

48780960 has 48 divisors (see below), whose sum is σ = 153661536. Its totient is φ = 13008128.

The previous prime is 48780959. The next prime is 48780997. The reversal of 48780960 is 6908784.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50334 + ... + 51293.

It is an arithmetic number, because the mean of its divisors is an integer number (3201282).

Almost surely, 248780960 is an apocalyptic number.

48780960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48780960 is an abundant number, since it is smaller than the sum of its proper divisors (104880576).

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

48780960 is a wasteful number, since it uses less digits than its factorization.

48780960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101645 (or 101637 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 48780960 is about 6984.3367616403. The cubic root of 48780960 is about 365.3844950578.

The spelling of 48780960 in words is "forty-eight million, seven hundred eighty thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 101627 203254 304881 406508 508135 609762 813016 1016270 1219524 1524405 1626032 2032540 2439048 3048810 3252064 4065080 4878096 6097620 8130160 9756192 12195240 16260320 24390480 48780960