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247828380 = 2235172291061
BaseRepresentation
bin11101100010110…
…00111110011100
3122021022222121220
432301120332130
51001421002010
640331453340
76066335502
oct1661307634
9567288556
10247828380
11117990148
126abb7250
133c462117
1424cb2672
1516b55970
hexec58f9c

247828380 has 96 divisors (see below), whose sum is σ = 738642240. Its totient is φ = 61870080.

The previous prime is 247828367. The next prime is 247828409. The reversal of 247828380 is 83828742.

It is a super-2 number, since 2×2478283802 = 122837811866848800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 233050 + ... + 234110.

It is an arithmetic number, because the mean of its divisors is an integer number (7694190).

Almost surely, 2247828380 is an apocalyptic number.

247828380 is a gapful number since it is divisible by the number (20) 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 247828380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369321120).

247828380 is an abundant number, since it is smaller than the sum of its proper divisors (490813860).

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

247828380 is a wasteful number, since it uses less digits than its factorization.

247828380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1319 (or 1317 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 42.

The square root of 247828380 is about 15742.5658645597. The cubic root of 247828380 is about 628.1311712965.

The spelling of 247828380 in words is "two hundred forty-seven million, eight hundred twenty-eight thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 229 255 340 458 510 687 916 1020 1061 1145 1374 2122 2290 2748 3183 3435 3893 4244 4580 5305 6366 6870 7786 10610 11679 12732 13740 15572 15915 18037 19465 21220 23358 31830 36074 38930 46716 54111 58395 63660 72148 77860 90185 108222 116790 180370 216444 233580 242969 270555 360740 485938 541110 728907 971876 1082220 1214845 1457814 2429690 2915628 3644535 4130473 4859380 7289070 8260946 12391419 14578140 16521892 20652365 24782838 41304730 49565676 61957095 82609460 123914190 247828380