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48478760 = 23511239461
BaseRepresentation
bin1011100011101…
…1101000101000
310101012222100122
42320323220220
544402310020
64451022412
71126030331
oct270735050
9111188318
1048478760
11254018a0
121429aa08
13a074b75
14661d288
1543c9125
hex2e3ba28

48478760 has 64 divisors (see below), whose sum is σ = 119750400. Its totient is φ = 17516800.

The previous prime is 48478741. The next prime is 48478763. The reversal of 48478760 is 6787484.

48478760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×484787602 = 4700380342275200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (48478763) 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, 104930 + ... + 105390.

It is an arithmetic number, because the mean of its divisors is an integer number (1871100).

Almost surely, 248478760 is an apocalyptic number.

48478760 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 48478760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59875200).

48478760 is an abundant number, since it is smaller than the sum of its proper divisors (71271640).

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

48478760 is a wasteful number, since it uses less digits than its factorization.

48478760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 44.

The square root of 48478760 is about 6962.6690284689. The cubic root of 48478760 is about 364.6284077133.

The spelling of 48478760 in words is "forty-eight million, four hundred seventy-eight thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 239 440 461 478 922 956 1195 1844 1912 2305 2390 2629 3688 4610 4780 5071 5258 9220 9560 10142 10516 13145 18440 20284 21032 25355 26290 40568 50710 52580 101420 105160 110179 202840 220358 440716 550895 881432 1101790 1211969 2203580 2423938 4407160 4847876 6059845 9695752 12119690 24239380 48478760