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23832848 = 2413149769
BaseRepresentation
bin101101011101…
…0100100010000
31122211211112002
41122322210100
522100122343
62210453132
7406401344
oct132724420
948754462
1023832848
11124a8a76
127b941a8
134c25ba0
143245624
15215b8b8
hex16ba910

23832848 has 40 divisors (see below), whose sum is σ = 50127000. Its totient is φ = 10911744.

The previous prime is 23832833. The next prime is 23832877. The reversal of 23832848 is 84823832.

It can be written as a sum of positive squares in 4 ways, for example, as 135424 + 23697424 = 368^2 + 4868^2 .

It is a super-2 number, since 2×238328482 = 1136009287582208, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30608 + ... + 31376.

It is an arithmetic number, because the mean of its divisors is an integer number (1253175).

Almost surely, 223832848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23832848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25063500).

23832848 is an abundant number, since it is smaller than the sum of its proper divisors (26294152).

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

23832848 is a wasteful number, since it uses less digits than its factorization.

23832848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 939 (or 933 counting only the distinct ones).

The product of its digits is 73728, while the sum is 38.

The square root of 23832848 is about 4881.8897980188. The cubic root of 23832848 is about 287.7787008821.

The spelling of 23832848 in words is "twenty-three million, eight hundred thirty-two thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 13 16 26 52 104 149 208 298 596 769 1192 1538 1937 2384 3076 3874 6152 7748 9997 12304 15496 19994 30992 39988 79976 114581 159952 229162 458324 916648 1489553 1833296 2979106 5958212 11916424 23832848