Search a number
-
+
246196992 = 28317109173
BaseRepresentation
bin11101010110010…
…10101100000000
3122011021002210010
432223022230000
51001011300432
640232504520
76046432326
oct1653125400
9564232703
10246196992
11116a76498
126a54b140
133c0106c2
14249a9d16
15169323cc
hexeacab00

246196992 has 144 divisors (see below), whose sum is σ = 704198880. Its totient is φ = 76087296.

The previous prime is 246196981. The next prime is 246197023. The reversal of 246196992 is 299691642.

It is a super-2 number, since 2×2461969922 = 121225917739696128, which contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1423018 + ... + 1423190.

It is an arithmetic number, because the mean of its divisors is an integer number (4890270).

Almost surely, 2246196992 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 246196992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352099440).

246196992 is an abundant number, since it is smaller than the sum of its proper divisors (458001888).

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

246196992 is a wasteful number, since it uses less digits than its factorization.

246196992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 304 counting only the distinct ones).

The product of its digits is 419904, while the sum is 48.

The square root of 246196992 is about 15690.6657602538. The cubic root of 246196992 is about 626.7498627032.

The spelling of 246196992 in words is "two hundred forty-six million, one hundred ninety-six thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 109 128 136 173 192 204 218 256 272 327 346 384 408 436 519 544 654 692 768 816 872 1038 1088 1308 1384 1632 1744 1853 2076 2176 2616 2768 2941 3264 3488 3706 4152 4352 5232 5536 5559 5882 6528 6976 7412 8304 8823 10464 11072 11118 11764 13056 13952 14824 16608 17646 18857 20928 22144 22236 23528 27904 29648 33216 35292 37714 41856 44288 44472 47056 56571 59296 66432 70584 75428 83712 88944 94112 113142 118592 132864 141168 150856 177888 188224 226284 237184 282336 301712 320569 355776 376448 452568 474368 564672 603424 641138 711552 752896 905136 961707 1129344 1206848 1282276 1423104 1810272 1923414 2258688 2413696 2564552 3620544 3846828 4827392 5129104 7241088 7693656 10258208 14482176 15387312 20516416 30774624 41032832 61549248 82065664 123098496 246196992