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23296256 = 281753101
BaseRepresentation
bin101100011011…
…1100100000000
31121211120110022
41120313210000
521430440011
62151153012
7402005054
oct130674400
947746408
1023296256
1112171905
127975768
134a98889
143145c64
1520a28db
hex1637900

23296256 has 72 divisors (see below), whose sum is σ = 50662584. Its totient is φ = 10649600.

The previous prime is 23296249. The next prime is 23296289. The reversal of 23296256 is 65269232.

It can be written as a sum of positive squares in 4 ways, for example, as 15366400 + 7929856 = 3920^2 + 2816^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 230606 + ... + 230706.

It is an arithmetic number, because the mean of its divisors is an integer number (703647).

Almost surely, 223296256 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 23296256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25331292).

23296256 is an abundant number, since it is smaller than the sum of its proper divisors (27366328).

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

23296256 is a wasteful number, since it uses less digits than its factorization.

23296256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 173 counting only the distinct ones).

The product of its digits is 38880, while the sum is 35.

The square root of 23296256 is about 4826.6195209484. The cubic root of 23296256 is about 285.6025254323.

The spelling of 23296256 in words is "twenty-three million, two hundred ninety-six thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 17 32 34 53 64 68 101 106 128 136 202 212 256 272 404 424 544 808 848 901 1088 1616 1696 1717 1802 2176 3232 3392 3434 3604 4352 5353 6464 6784 6868 7208 10706 12928 13568 13736 14416 21412 25856 27472 28832 42824 54944 57664 85648 91001 109888 115328 171296 182002 219776 230656 342592 364004 439552 685184 728008 1370368 1456016 2912032 5824064 11648128 23296256