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250283264 = 2871112697
BaseRepresentation
bin11101110101100…
…00010100000000
3122102221201002112
432322300110000
51003033031024
640500234452
76126241550
oct1672602400
9572851075
10250283264
11119307580
126b99ba28
133cb1160a
1425351160
1516e8d00e
hexeeb0500

250283264 has 72 divisors (see below), whose sum is σ = 622913088. Its totient is φ = 97505280.

The previous prime is 250283233. The next prime is 250283269. The reversal of 250283264 is 462382052.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 250283264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (250283269) 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 7 ways as a sum of consecutive naturals, for example, 13364 + ... + 26060.

Almost surely, 2250283264 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 250283264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311456544).

250283264 is an abundant number, since it is smaller than the sum of its proper divisors (372629824).

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

250283264 is a wasteful number, since it uses less digits than its factorization.

250283264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12731 (or 12717 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 250283264 is about 15820.3433591057. The cubic root of 250283264 is about 630.1983619933.

The spelling of 250283264 in words is "two hundred fifty million, two hundred eighty-three thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 224 256 308 352 448 616 704 896 1232 1408 1792 2464 2816 4928 9856 12697 19712 25394 50788 88879 101576 139667 177758 203152 279334 355516 406304 558668 711032 812608 977669 1117336 1422064 1625216 1955338 2234672 2844128 3250432 3910676 4469344 5688256 7821352 8938688 11376512 15642704 17877376 22753024 31285408 35754752 62570816 125141632 250283264