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250010442 = 23311283461
BaseRepresentation
bin11101110011011…
…01101101001010
3122102102211212000
432321231231022
51003000313232
640450331430
76124024263
oct1671555512
9572384760
10250010442
11119140600
126b889b76
133ca47396
14252bd96a
1516e3727c
hexee6db4a

250010442 has 96 divisors (see below), whose sum is σ = 619375680. Its totient is φ = 74685600.

The previous prime is 250010393. The next prime is 250010459. The reversal of 250010442 is 244010052.

It is a super-2 number, since 2×2500104422 = 125010442218070728, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 542092 + ... + 542552.

It is an arithmetic number, because the mean of its divisors is an integer number (6451830).

Almost surely, 2250010442 is an apocalyptic number.

250010442 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 250010442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309687840).

250010442 is an abundant number, since it is smaller than the sum of its proper divisors (369365238).

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

250010442 is a wasteful number, since it uses less digits than its factorization.

250010442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 250010442 is about 15811.7185024272. The cubic root of 250010442 is about 629.9692955557.

Adding to 250010442 its reverse (244010052), we get a palindrome (494020494).

The spelling of 250010442 in words is "two hundred fifty million, ten thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 83 99 121 166 198 242 249 297 363 461 498 594 726 747 913 922 1089 1383 1494 1826 2178 2241 2739 2766 3267 4149 4482 5071 5478 6534 8217 8298 10043 10142 12447 15213 16434 20086 24651 24894 30129 30426 38263 45639 49302 55781 60258 76526 90387 91278 111562 114789 136917 167343 180774 229578 271161 273834 334686 344367 420893 502029 542322 688734 841786 1004058 1033101 1262679 1506087 2066202 2525358 3012174 3788037 4629823 7576074 9259646 11364111 13889469 22728222 27778938 41668407 83336814 125005221 250010442