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24002096 = 2417791117
BaseRepresentation
bin101101110001…
…1111000110000
31200011102200112
41123203320300
522121031341
62214240452
7411004646
oct133437060
950142615
1024002096
1112604148
128056128
134c84c31
14328b196
152191aeb
hex16e3e30

24002096 has 40 divisors (see below), whose sum is σ = 49907520. Its totient is φ = 11142144.

The previous prime is 24002093. The next prime is 24002119. The reversal of 24002096 is 69020042.

It is a super-2 number, since 2×240020962 = 1152201224786432, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (24002093) 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 7 ways as a sum of consecutive naturals, for example, 20930 + ... + 22046.

It is an arithmetic number, because the mean of its divisors is an integer number (1247688).

Almost surely, 224002096 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 24002096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24953760).

24002096 is an abundant number, since it is smaller than the sum of its proper divisors (25905424).

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

24002096 is a wasteful number, since it uses less digits than its factorization.

24002096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1221 (or 1215 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 24002096 is about 4899.1934030001. The cubic root of 24002096 is about 288.4583109145.

The spelling of 24002096 in words is "twenty-four million, two thousand, ninety-six".

Divisors: 1 2 4 8 16 17 34 68 79 136 158 272 316 632 1117 1264 1343 2234 2686 4468 5372 8936 10744 17872 18989 21488 37978 75956 88243 151912 176486 303824 352972 705944 1411888 1500131 3000262 6000524 12001048 24002096