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23049264 = 2437181379
BaseRepresentation
bin101011111101…
…1010000110000
31121101000122110
41113323100300
521400034024
62142005320
7366626010
oct127732060
947330573
1023049264
1112013287
127876840
134a10324
1430bdc40
152054629
hex15fb430

23049264 has 80 divisors (see below), whose sum is σ = 68606720. Its totient is φ = 6531840.

The previous prime is 23049251. The next prime is 23049281. The reversal of 23049264 is 46294032.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 60627 + ... + 61005.

It is an arithmetic number, because the mean of its divisors is an integer number (857584).

Almost surely, 223049264 is an apocalyptic number.

23049264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23049264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34303360).

23049264 is an abundant number, since it is smaller than the sum of its proper divisors (45557456).

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

23049264 is a wasteful number, since it uses less digits than its factorization.

23049264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 23049264 is about 4800.9649030169. The cubic root of 23049264 is about 284.5895970493.

It can be divided in two parts, 230 and 49264, that added together give a palindrome (49494).

The spelling of 23049264 in words is "twenty-three million, forty-nine thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 181 336 362 379 543 724 758 1086 1137 1267 1448 1516 2172 2274 2534 2653 2896 3032 3801 4344 4548 5068 5306 6064 7602 7959 8688 9096 10136 10612 15204 15918 18192 20272 21224 30408 31836 42448 60816 63672 68599 127344 137198 205797 274396 411594 480193 548792 823188 960386 1097584 1440579 1646376 1920772 2881158 3292752 3841544 5762316 7683088 11524632 23049264