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23105448 = 23321743439
BaseRepresentation
bin101100000100…
…0111110101000
31121110212201100
41120020332220
521403333243
62143121400
7400251552
oct130107650
947425640
1023105448
1112051513
1278a3260
134a2ca82
1430d64d2
1520660d3
hex1608fa8

23105448 has 96 divisors (see below), whose sum is σ = 67953600. Its totient is φ = 7064064.

The previous prime is 23105443. The next prime is 23105471. The reversal of 23105448 is 84450132.

It is not an unprimeable number, because it can be changed into a prime (23105441) 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 23 ways as a sum of consecutive naturals, for example, 52413 + ... + 52851.

It is an arithmetic number, because the mean of its divisors is an integer number (707850).

Almost surely, 223105448 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 23105448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33976800).

23105448 is an abundant number, since it is smaller than the sum of its proper divisors (44848152).

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

23105448 is a wasteful number, since it uses less digits than its factorization.

23105448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 23105448 is about 4806.8126653740. The cubic root of 23105448 is about 284.8206443079.

The spelling of 23105448 in words is "twenty-three million, one hundred five thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 43 51 68 72 86 102 129 136 153 172 204 258 306 344 387 408 439 516 612 731 774 878 1032 1224 1317 1462 1548 1756 2193 2634 2924 3096 3512 3951 4386 5268 5848 6579 7463 7902 8772 10536 13158 14926 15804 17544 18877 22389 26316 29852 31608 37754 44778 52632 56631 59704 67167 75508 89556 113262 134334 151016 169893 179112 226524 268668 320909 339786 453048 537336 641818 679572 962727 1283636 1359144 1925454 2567272 2888181 3850908 5776362 7701816 11552724 23105448