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23008032 = 253279889
BaseRepresentation
bin101011111000…
…1001100100000
31121021221002100
41113301030200
521342224112
62141050400
7366364545
oct127611440
947257070
1023008032
1111a95303
127856a00
1349c7628
1430acbcc
1520472dc
hex15f1320

23008032 has 36 divisors (see below), whose sum is σ = 65429910. Its totient is φ = 7669248.

The previous prime is 23008019. The next prime is 23008033. The reversal of 23008032 is 23080032.

It can be written as a sum of positive squares in only one way, i.e., 22240656 + 767376 = 4716^2 + 876^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 23007996 and 23008014.

It is not an unprimeable number, because it can be changed into a prime (23008033) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 39657 + ... + 40232.

Almost surely, 223008032 is an apocalyptic number.

It is an amenable number.

23008032 is an abundant number, since it is smaller than the sum of its proper divisors (42421878).

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

23008032 is a wasteful number, since it uses less digits than its factorization.

23008032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79905 (or 79894 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 23008032 is about 4796.6688441042. The cubic root of 23008032 is about 284.4197983926.

Adding to 23008032 its reverse (23080032), we get a palindrome (46088064).

The spelling of 23008032 in words is "twenty-three million, eight thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 79889 159778 239667 319556 479334 639112 719001 958668 1278224 1438002 1917336 2556448 2876004 3834672 5752008 7669344 11504016 23008032