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48409320 = 23353710903
BaseRepresentation
bin1011100010101…
…0101011101000
310101002110002210
42320222223220
544343044240
64445325120
71125321021
oct270525350
9111073083
1048409320
1125364703
12142667a0
13a04c38b
146601c48
1543b3780
hex2e2aae8

48409320 has 64 divisors (see below), whose sum is σ = 149166720. Its totient is φ = 12559104.

The previous prime is 48409307. The next prime is 48409343. The reversal of 48409320 is 2390484.

It is a happy number.

48409320 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 (30).

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, 1012 + ... + 9891.

It is an arithmetic number, because the mean of its divisors is an integer number (2330730).

Almost surely, 248409320 is an apocalyptic number.

48409320 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 48409320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74583360).

48409320 is an abundant number, since it is smaller than the sum of its proper divisors (100757400).

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

48409320 is a wasteful number, since it uses less digits than its factorization.

48409320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10954 (or 10950 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 48409320 is about 6957.6806480321. The cubic root of 48409320 is about 364.4542290596.

The spelling of 48409320 in words is "forty-eight million, four hundred nine thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 148 185 222 296 370 444 555 740 888 1110 1480 2220 4440 10903 21806 32709 43612 54515 65418 87224 109030 130836 163545 218060 261672 327090 403411 436120 654180 806822 1210233 1308360 1613644 2017055 2420466 3227288 4034110 4840932 6051165 8068220 9681864 12102330 16136440 24204660 48409320