Search a number
-
+
24422048 = 257313517
BaseRepresentation
bin101110100101…
…0011010100000
31200221202202022
41131022122200
522223001143
62231241012
7414404210
oct135123240
950852668
1024422048
1112870712
128219168
1350a1121
14335a240
152226268
hex174a6a0

24422048 has 48 divisors (see below), whose sum is σ = 56738304. Its totient is φ = 10126080.

The previous prime is 24422039. The next prime is 24422059. The reversal of 24422048 is 84022442.

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, 5186 + ... + 8702.

It is an arithmetic number, because the mean of its divisors is an integer number (1182048).

Almost surely, 224422048 is an apocalyptic number.

24422048 is a gapful number since it is divisible by the number (28) 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 24422048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28369152).

24422048 is an abundant number, since it is smaller than the sum of its proper divisors (32316256).

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

24422048 is a wasteful number, since it uses less digits than its factorization.

24422048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3565 (or 3557 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 26.

The square root of 24422048 is about 4941.8668537305. The cubic root of 24422048 is about 290.1309278008.

The spelling of 24422048 in words is "twenty-four million, four hundred twenty-two thousand, forty-eight".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 112 124 217 224 248 434 496 868 992 1736 3472 3517 6944 7034 14068 24619 28136 49238 56272 98476 109027 112544 196952 218054 393904 436108 763189 787808 872216 1526378 1744432 3052756 3488864 6105512 12211024 24422048