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24100096 = 28472003
BaseRepresentation
bin101101111101…
…1110100000000
31200100102010011
41123323310000
522132200341
62220314304
7411563446
oct133736400
950312104
1024100096
1112670839
1280a2994
134cba717
1432b4b96
1521b0b81
hex16fbd00

24100096 has 36 divisors (see below), whose sum is σ = 49154112. Its totient is φ = 11787776.

The previous prime is 24100093. The next prime is 24100099. The reversal of 24100096 is 69000142.

It is an interprime number because it is at equal distance from previous prime (24100093) and next prime (24100099).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24100091) 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 3 ways as a sum of consecutive naturals, for example, 11031 + ... + 13033.

It is an arithmetic number, because the mean of its divisors is an integer number (1365392).

Almost surely, 224100096 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 24100096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24577056).

24100096 is an abundant number, since it is smaller than the sum of its proper divisors (25054016).

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

24100096 is an equidigital number, since it uses as much as digits as its factorization.

24100096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2066 (or 2052 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 24100096 is about 4909.1848610538. The cubic root of 24100096 is about 288.8503673379.

The spelling of 24100096 in words is "twenty-four million, one hundred thousand, ninety-six".

Divisors: 1 2 4 8 16 32 47 64 94 128 188 256 376 752 1504 2003 3008 4006 6016 8012 12032 16024 32048 64096 94141 128192 188282 256384 376564 512768 753128 1506256 3012512 6025024 12050048 24100096