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250305328 = 24721341599
BaseRepresentation
bin11101110101101…
…01101100110000
3122102222211100201
432322311230300
51003034232303
640500524544
76126363100
oct1672655460
9572884321
10250305328
11119322109
126b9b0754
133cb1b680
1425359200
1516e9481d
hexeeb5b30

250305328 has 120 divisors (see below), whose sum is σ = 623397600. Its totient is φ = 96445440.

The previous prime is 250305323. The next prime is 250305329. The reversal of 250305328 is 823503052.

250305328 = 1623 + 1633 + ... + 2023.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 250305296 and 250305305.

It is not an unprimeable number, because it can be changed into a prime (250305323) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 417573 + ... + 418171.

It is an arithmetic number, because the mean of its divisors is an integer number (5194980).

Almost surely, 2250305328 is an apocalyptic number.

250305328 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 250305328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311698800).

250305328 is an abundant number, since it is smaller than the sum of its proper divisors (373092272).

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

250305328 is a wasteful number, since it uses less digits than its factorization.

250305328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 250305328 is about 15821.0406737357. The cubic root of 250305328 is about 630.2168800621.

The spelling of 250305328 in words is "two hundred fifty million, three hundred five thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 41 49 52 56 82 91 98 104 112 164 182 196 208 287 328 364 392 533 574 599 637 656 728 784 1066 1148 1198 1274 1456 2009 2132 2296 2396 2548 3731 4018 4193 4264 4592 4792 5096 7462 7787 8036 8386 8528 9584 10192 14924 15574 16072 16772 24559 26117 29351 29848 31148 32144 33544 49118 52234 54509 58702 59696 62296 67088 98236 104468 109018 117404 124592 171913 196472 208936 218036 234808 319267 343826 381563 392944 417872 436072 469616 638534 687652 763126 872144 1203391 1277068 1375304 1526252 2234869 2406782 2554136 2750608 3052504 4469738 4813564 5108272 6105008 8939476 9627128 15644083 17878952 19254256 31288166 35757904 62576332 125152664 250305328