Search a number
-
+
23293248 = 2631141269
BaseRepresentation
bin101100011011…
…0110101000000
31121211102022220
41120312311000
521430340443
62151131040
7401663226
oct130666500
947742286
1023293248
111216a620
127973a80
134a973b4
143144b16
1520a1a83
hex1636d40

23293248 has 112 divisors (see below), whose sum is σ = 69128640. Its totient is φ = 6860800.

The previous prime is 23293223. The next prime is 23293267. The reversal of 23293248 is 84239232.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 86458 + ... + 86726.

It is an arithmetic number, because the mean of its divisors is an integer number (617220).

Almost surely, 223293248 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 23293248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34564320).

23293248 is an abundant number, since it is smaller than the sum of its proper divisors (45835392).

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

23293248 is a wasteful number, since it uses less digits than its factorization.

23293248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 326 counting only the distinct ones).

The product of its digits is 20736, while the sum is 33.

The square root of 23293248 is about 4826.3079056355. The cubic root of 23293248 is about 285.5902326219.

The spelling of 23293248 in words is "twenty-three million, two hundred ninety-three thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 41 44 48 64 66 82 88 96 123 132 164 176 192 246 264 269 328 352 451 492 528 538 656 704 807 902 984 1056 1076 1312 1353 1614 1804 1968 2112 2152 2624 2706 2959 3228 3608 3936 4304 5412 5918 6456 7216 7872 8608 8877 10824 11029 11836 12912 14432 17216 17754 21648 22058 23672 25824 28864 33087 35508 43296 44116 47344 51648 66174 71016 86592 88232 94688 121319 132348 142032 176464 189376 242638 264696 284064 352928 363957 485276 529392 568128 705856 727914 970552 1058784 1455828 1941104 2117568 2911656 3882208 5823312 7764416 11646624 23293248