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23633028 = 22322922637
BaseRepresentation
bin101101000100…
…1110010000100
31122110200102100
41122021302010
522022224103
62202312100
7404606646
oct132116204
948420370
1023633028
1112381931
127ab8630
134b85c53
1431d2896
15211c5a3
hex1689c84

23633028 has 36 divisors (see below), whose sum is σ = 61801740. Its totient is φ = 7605696.

The previous prime is 23633021. The next prime is 23633033. The reversal of 23633028 is 82033632.

23633028 is a `hidden beast` number, since 2 + 3 + 633 + 0 + 28 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9253764 + 14379264 = 3042^2 + 3792^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 23632992 and 23633010.

It is not an unprimeable number, because it can be changed into a prime (23633021) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10275 + ... + 12362.

It is an arithmetic number, because the mean of its divisors is an integer number (1716715).

Almost surely, 223633028 is an apocalyptic number.

It is an amenable number.

23633028 is an abundant number, since it is smaller than the sum of its proper divisors (38168712).

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

23633028 is a wasteful number, since it uses less digits than its factorization.

23633028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22676 (or 22671 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 23633028 is about 4861.3812851905. The cubic root of 23633028 is about 286.9721753468.

The spelling of 23633028 in words is "twenty-three million, six hundred thirty-three thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1044 22637 45274 67911 90548 135822 203733 271644 407466 656473 814932 1312946 1969419 2625892 3938838 5908257 7877676 11816514 23633028