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23048256 = 2637111559
BaseRepresentation
bin101011111101…
…1000001000000
31121100222021010
41113323001000
521400021011
62142000520
7366623040
oct127730100
947328233
1023048256
1112012550
127876140
134a0ca2a
1430bd720
1520541a6
hex15fb040

23048256 has 112 divisors (see below), whose sum is σ = 76078080. Its totient is φ = 5982720.

The previous prime is 23048251. The next prime is 23048257. The reversal of 23048256 is 65284032.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23048251) 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 15 ways as a sum of consecutive naturals, for example, 14005 + ... + 15563.

Almost surely, 223048256 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 23048256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38039040).

23048256 is an abundant number, since it is smaller than the sum of its proper divisors (53029824).

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

23048256 is a wasteful number, since it uses less digits than its factorization.

23048256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1592 (or 1582 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 23048256 is about 4800.8599229721. The cubic root of 23048256 is about 284.5854483919.

The spelling of 23048256 in words is "twenty-three million, forty-eight thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 64 66 77 84 88 96 112 132 154 168 176 192 224 231 264 308 336 352 448 462 528 616 672 704 924 1056 1232 1344 1559 1848 2112 2464 3118 3696 4677 4928 6236 7392 9354 10913 12472 14784 17149 18708 21826 24944 32739 34298 37416 43652 49888 51447 65478 68596 74832 87304 99776 102894 120043 130956 137192 149664 174608 205788 240086 261912 274384 299328 349216 360129 411576 480172 523824 548768 698432 720258 823152 960344 1047648 1097536 1440516 1646304 1920688 2095296 2881032 3292608 3841376 5762064 7682752 11524128 23048256