Search a number
-
+
250809048 = 2335722633
BaseRepresentation
bin11101111001100…
…00101011011000
3122110221102100000
432330300223120
51003201342143
640515413000
76133561500
oct1674605330
9573842300
10250809048
11119636606
126bbb4160
133cc66a29
142544aa00
1517043bd3
hexef30ad8

250809048 has 144 divisors (see below), whose sum is σ = 819753480. Its totient is φ = 71632512.

The previous prime is 250809047. The next prime is 250809077. The reversal of 250809048 is 840908052.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (250809047) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 93940 + ... + 96572.

Almost surely, 2250809048 is an apocalyptic number.

250809048 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 250809048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409876740).

250809048 is an abundant number, since it is smaller than the sum of its proper divisors (568944432).

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

250809048 is a wasteful number, since it uses less digits than its factorization.

250809048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2668 (or 2645 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 250809048 is about 15836.9519794688. The cubic root of 250809048 is about 630.6393509398.

The spelling of 250809048 in words is "two hundred fifty million, eight hundred nine thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 72 81 84 98 108 126 147 162 168 189 196 216 243 252 294 324 378 392 441 486 504 567 588 648 756 882 972 1134 1176 1323 1512 1701 1764 1944 2268 2633 2646 3402 3528 3969 4536 5266 5292 6804 7899 7938 10532 10584 11907 13608 15798 15876 18431 21064 23697 23814 31596 31752 36862 47394 47628 55293 63192 71091 73724 94788 95256 110586 129017 142182 147448 165879 189576 213273 221172 258034 284364 331758 387051 426546 442344 497637 516068 568728 639819 663516 774102 853092 995274 1032136 1161153 1279638 1327032 1492911 1548204 1706184 1990548 2322306 2559276 2985822 3096408 3483459 3981096 4478733 4644612 5118552 5971644 6966918 8957466 9289224 10450377 11943288 13933836 17914932 20900754 27867672 31351131 35829864 41801508 62702262 83603016 125404524 250809048