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250872468 = 2237111715971
BaseRepresentation
bin11101111010000…
…00001010010100
3122111001122022220
432331000022110
51003210404333
640521022340
76134244420
oct1675001224
9574048286
10250872468
1111967a220
12700249b0
133cc89862
1425465b80
15170578b3
hexef40294

250872468 has 96 divisors (see below), whose sum is σ = 772789248. Its totient is φ = 61324800.

The previous prime is 250872463. The next prime is 250872473. The reversal of 250872468 is 864278052.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (250872463) and next prime (250872473).

It is a super-2 number, since 2×2508724682 = 125873990400822048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (250872463) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7723 + ... + 23693.

It is an arithmetic number, because the mean of its divisors is an integer number (8049888).

Almost surely, 2250872468 is an apocalyptic number.

250872468 is a gapful number since it is divisible by the number (28) 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 250872468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386394624).

250872468 is an abundant number, since it is smaller than the sum of its proper divisors (521916780).

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

250872468 is a wasteful number, since it uses less digits than its factorization.

250872468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16013 (or 16011 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The square root of 250872468 is about 15838.9541321389. The cubic root of 250872468 is about 630.6925013044.

The spelling of 250872468 in words is "two hundred fifty million, eight hundred seventy-two thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 11 12 14 17 21 22 28 33 34 42 44 51 66 68 77 84 102 119 132 154 187 204 231 238 308 357 374 462 476 561 714 748 924 1122 1309 1428 2244 2618 3927 5236 7854 15708 15971 31942 47913 63884 95826 111797 175681 191652 223594 271507 335391 351362 447188 527043 543014 670782 702724 814521 1054086 1086028 1229767 1341564 1629042 1900549 2108172 2459534 2986577 3258084 3689301 3801098 4919068 5701647 5973154 7378602 7602196 8959731 11403294 11946308 14757204 17919462 20906039 22806588 35838924 41812078 62718117 83624156 125436234 250872468