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48010920 = 23353471153
BaseRepresentation
bin1011011100100…
…1011010101000
310100100012121020
42313021122220
544242322140
64433012440
71122041346
oct267113250
9110305536
1048010920
1125112351
12140b4120
139c3cc39
14653a996
1543356d0
hex2dc96a8

48010920 has 64 divisors (see below), whose sum is σ = 144573120. Its totient is φ = 12754944.

The previous prime is 48010901. The next prime is 48010931. The reversal of 48010920 is 2901084.

48010920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 15 ways as a sum of consecutive naturals, for example, 41064 + ... + 42216.

It is an arithmetic number, because the mean of its divisors is an integer number (2258955).

Almost surely, 248010920 is an apocalyptic number.

48010920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48010920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72286560).

48010920 is an abundant number, since it is smaller than the sum of its proper divisors (96562200).

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

48010920 is a wasteful number, since it uses less digits than its factorization.

48010920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1514 (or 1510 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 48010920 is about 6928.9912685758. The cubic root of 48010920 is about 363.4516761391.

The spelling of 48010920 in words is "forty-eight million, ten thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 347 694 1041 1153 1388 1735 2082 2306 2776 3459 3470 4164 4612 5205 5765 6918 6940 8328 9224 10410 11530 13836 13880 17295 20820 23060 27672 34590 41640 46120 69180 138360 400091 800182 1200273 1600364 2000455 2400546 3200728 4000910 4801092 6001365 8001820 9602184 12002730 16003640 24005460 48010920