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48032280 = 23325235801
BaseRepresentation
bin1011011100111…
…0101000011000
310100101021220100
42313032220120
544244013110
64433255400
71122160542
oct267165030
9110337810
1048032280
11251273aa
1214104560
139c4988a
146544692
15433bbc0
hex2dcea18

48032280 has 96 divisors (see below), whose sum is σ = 162920160. Its totient is φ = 12249600.

The previous prime is 48032269. The next prime is 48032317. The reversal of 48032280 is 8223084.

48032280 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 23 ways as a sum of consecutive naturals, for example, 5380 + ... + 11180.

It is an arithmetic number, because the mean of its divisors is an integer number (1697085).

Almost surely, 248032280 is an apocalyptic number.

48032280 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 48032280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81460080).

48032280 is an abundant number, since it is smaller than the sum of its proper divisors (114887880).

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

48032280 is a wasteful number, since it uses less digits than its factorization.

48032280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5841 (or 5834 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 48032280 is about 6930.5324470779. The cubic root of 48032280 is about 363.5055678842.

The spelling of 48032280 in words is "forty-eight million, thirty-two thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 23 24 30 36 40 45 46 60 69 72 90 92 115 120 138 180 184 207 230 276 345 360 414 460 552 690 828 920 1035 1380 1656 2070 2760 4140 5801 8280 11602 17403 23204 29005 34806 46408 52209 58010 69612 87015 104418 116020 133423 139224 174030 208836 232040 261045 266846 348060 400269 417672 522090 533692 667115 696120 800538 1044180 1067384 1200807 1334230 1601076 2001345 2088360 2401614 2668460 3202152 4002690 4803228 5336920 6004035 8005380 9606456 12008070 16010760 24016140 48032280