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250100064 = 253231109257
BaseRepresentation
bin11101110100000…
…11100101100000
3122102121101210100
432322003211200
51003011200224
640452302400
76124546464
oct1672034540
9572541710
10250100064
111191a1975
126b911a00
133ca79106
14253044a4
1516e53ac9
hexee83960

250100064 has 144 divisors (see below), whose sum is σ = 743783040. Its totient is φ = 79626240.

The previous prime is 250100063. The next prime is 250100077. The reversal of 250100064 is 460001052.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (250100063) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 973024 + ... + 973280.

It is an arithmetic number, because the mean of its divisors is an integer number (5165160).

Almost surely, 2250100064 is an apocalyptic number.

250100064 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 250100064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371891520).

250100064 is an abundant number, since it is smaller than the sum of its proper divisors (493682976).

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

250100064 is a wasteful number, since it uses less digits than its factorization.

250100064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 250100064 is about 15814.5522857905. The cubic root of 250100064 is about 630.0445622296.

The spelling of 250100064 in words is "two hundred fifty million, one hundred thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 72 93 96 109 124 144 186 218 248 257 279 288 327 372 436 496 514 558 654 744 771 872 981 992 1028 1116 1308 1488 1542 1744 1962 2056 2232 2313 2616 2976 3084 3379 3488 3924 4112 4464 4626 5232 6168 6758 7848 7967 8224 8928 9252 10137 10464 12336 13516 15696 15934 18504 20274 23901 24672 27032 28013 30411 31392 31868 37008 40548 47802 54064 56026 60822 63736 71703 74016 81096 84039 95604 108128 112052 121644 127472 143406 162192 168078 191208 224104 243288 252117 254944 286812 324384 336156 382416 448208 486576 504234 573624 672312 764832 868403 896416 973152 1008468 1147248 1344624 1736806 2016936 2294496 2605209 2689248 3473612 4033872 5210418 6947224 7815627 8067744 10420836 13894448 15631254 20841672 27788896 31262508 41683344 62525016 83366688 125050032 250100064