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250430624 = 25234143193
BaseRepresentation
bin11101110110101…
…00010010100000
3122110020012020022
432323110102200
51003102234444
640503333012
76130424303
oct1673242240
9573205208
10250430624
111193a8264
126ba51168
133cb63702
142538cb3a
1516ebb9ee
hexeed44a0

250430624 has 96 divisors (see below), whose sum is σ = 542070144. Its totient is φ = 113541120.

The previous prime is 250430599. The next prime is 250430627. The reversal of 250430624 is 426034052.

It is a Cunningham number, because it is equal to 158252-1.

It is a junction number, because it is equal to n+sod(n) for n = 250430593 and 250430602.

It is not an unprimeable number, because it can be changed into a prime (250430627) 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 15 ways as a sum of consecutive naturals, for example, 1297472 + ... + 1297664.

It is an arithmetic number, because the mean of its divisors is an integer number (5646564).

Almost surely, 2250430624 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 250430624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271035072).

250430624 is an abundant number, since it is smaller than the sum of its proper divisors (291639520).

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

250430624 is a wasteful number, since it uses less digits than its factorization.

250430624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

The square root of 250430624 is about 15824.9999684044. Note that the first 4 decimals coincide. The cubic root of 250430624 is about 630.3220189643.

Adding to 250430624 its reverse (426034052), we get a palindrome (676464676).

The spelling of 250430624 in words is "two hundred fifty million, four hundred thirty thousand, six hundred twenty-four".

Divisors: 1 2 4 8 16 23 32 41 43 46 82 86 92 164 172 184 193 328 344 368 386 656 688 736 772 943 989 1312 1376 1544 1763 1886 1978 3088 3526 3772 3956 4439 6176 7052 7544 7912 7913 8299 8878 14104 15088 15824 15826 16598 17756 28208 30176 31648 31652 33196 35512 40549 56416 63304 66392 71024 81098 126608 132784 142048 162196 181999 190877 253216 265568 324392 340259 363998 381754 648784 680518 727996 763508 1297568 1361036 1455992 1527016 2722072 2911984 3054032 5444144 5823968 6108064 7825957 10888288 15651914 31303828 62607656 125215312 250430624