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23000448 = 27389673
BaseRepresentation
bin101011110111…
…1010110000000
31121021112200110
41113233112000
521342003243
62140551320
7366333462
oct127572600
947245613
1023000448
1111a8a639
127852540
1349c4043
1430aa132
152044e33
hex15ef580

23000448 has 64 divisors (see below), whose sum is σ = 61873200. Its totient is φ = 7569408.

The previous prime is 23000447. The next prime is 23000459. The reversal of 23000448 is 84400032.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23000447) 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, 33840 + ... + 34512.

Almost surely, 223000448 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 23000448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30936600).

23000448 is an abundant number, since it is smaller than the sum of its proper divisors (38872752).

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

23000448 is an equidigital number, since it uses as much as digits as its factorization.

23000448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 23000448 is about 4795.8782303140. The cubic root of 23000448 is about 284.3885444259.

The spelling of 23000448 in words is "twenty-three million, four hundred forty-eight", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 89 96 128 178 192 267 356 384 534 673 712 1068 1346 1424 2019 2136 2692 2848 4038 4272 5384 5696 8076 8544 10768 11392 16152 17088 21536 32304 34176 43072 59897 64608 86144 119794 129216 179691 239588 258432 359382 479176 718764 958352 1437528 1916704 2875056 3833408 5750112 7666816 11500224 23000448