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199048256 = 26111923647
BaseRepresentation
bin10111101110100…
…11110001000000
3111212112200212122
423313103301000
5401424021011
631430143412
74634611421
oct1367236100
9455480778
10199048256
11a23a29a0
12567b1b68
1332313044
141c615648
151271c3db
hexbdd3c40

199048256 has 112 divisors (see below), whose sum is σ = 474024960. Its totient is φ = 81861120.

The previous prime is 199048229. The next prime is 199048261. The reversal of 199048256 is 652840991.

199048256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (44).

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, 307325 + ... + 307971.

Almost surely, 2199048256 is an apocalyptic number.

199048256 is a gapful number since it is divisible by the number (16) 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 199048256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237012480).

199048256 is an abundant number, since it is smaller than the sum of its proper divisors (274976704).

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

199048256 is a wasteful number, since it uses less digits than its factorization.

199048256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 44.

The square root of 199048256 is about 14108.4462645608. The cubic root of 199048256 is about 583.8744335029.

The spelling of 199048256 in words is "one hundred ninety-nine million, forty-eight thousand, two hundred fifty-six".

Divisors: 1 2 4 8 11 16 19 22 23 32 38 44 46 64 76 88 92 152 176 184 209 253 304 352 368 418 437 506 608 647 704 736 836 874 1012 1216 1294 1472 1672 1748 2024 2588 3344 3496 4048 4807 5176 6688 6992 7117 8096 9614 10352 12293 13376 13984 14234 14881 16192 19228 20704 24586 27968 28468 29762 38456 41408 49172 56936 59524 76912 98344 113872 119048 135223 153824 163691 196688 227744 238096 270446 282739 307648 327382 393376 455488 476192 540892 565478 654764 786752 952384 1081784 1130956 1309528 2163568 2261912 2619056 3110129 4327136 4523824 5238112 6220258 8654272 9047648 10476224 12440516 18095296 24881032 49762064 99524128 199048256