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48125760 = 263550131
BaseRepresentation
bin1011011110010…
…1011101000000
310100120001010120
42313211131000
544310011020
64435300240
71123030224
oct267453500
9110501116
1048125760
1125190661
121414a680
139c802a7
14656a784
154359740
hex2de5740

48125760 has 56 divisors (see below), whose sum is σ = 152802336. Its totient is φ = 12833280.

The previous prime is 48125747. The next prime is 48125783. The reversal of 48125760 is 6752184.

48125760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 24106 + ... + 26025.

Almost surely, 248125760 is an apocalyptic number.

48125760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48125760 is an abundant number, since it is smaller than the sum of its proper divisors (104676576).

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

48125760 is a wasteful number, since it uses less digits than its factorization.

48125760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50151 (or 50141 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 48125760 is about 6937.2732395373. The cubic root of 48125760 is about 363.7412321785.

The spelling of 48125760 in words is "forty-eight million, one hundred twenty-five thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 50131 100262 150393 200524 250655 300786 401048 501310 601572 751965 802096 1002620 1203144 1503930 1604192 2005240 2406288 3007860 3208384 4010480 4812576 6015720 8020960 9625152 12031440 16041920 24062880 48125760