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247499380 = 225971131129
BaseRepresentation
bin11101100000010…
…00101001110100
3122020201021022201
432300020221310
51001324440010
640320434244
76063465352
oct1660105164
9566637281
10247499380
11117785a47
126aa78984
133c37844b
1424c287d2
1516add23a
hexec08a74

247499380 has 48 divisors (see below), whose sum is σ = 530223120. Its totient is φ = 97026048.

The previous prime is 247499359. The next prime is 247499383. The reversal of 247499380 is 83994742.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 94828644 + 152670736 = 9738^2 + 12356^2 .

It is a super-2 number, since 2×2474993802 = 122511886200768800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 247499380.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (247499383) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 218656 + ... + 219784.

It is an arithmetic number, because the mean of its divisors is an integer number (11046315).

Almost surely, 2247499380 is an apocalyptic number.

247499380 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

247499380 is an abundant number, since it is smaller than the sum of its proper divisors (282723740).

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

247499380 is a wasteful number, since it uses less digits than its factorization.

247499380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1348 (or 1346 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 46.

The square root of 247499380 is about 15732.1130176464. The cubic root of 247499380 is about 627.8530935532.

The spelling of 247499380 in words is "two hundred forty-seven million, four hundred ninety-nine thousand, three hundred eighty".

Divisors: 1 2 4 5 10 20 97 113 194 226 388 452 485 565 970 1129 1130 1940 2258 2260 4516 5645 10961 11290 21922 22580 43844 54805 109513 109610 127577 219026 219220 255154 438052 510308 547565 637885 1095130 1275770 2190260 2551540 12374969 24749938 49499876 61874845 123749690 247499380