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199082496 = 2933137113
BaseRepresentation
bin10111101110111…
…00001000000000
3111212121102211210
423313130020000
5401431114441
631431010120
74635113304
oct1367341000
9455542753
10199082496
11a2416698
1256809940
13323257c2
141c623d04
1512727616
hexbddc200

199082496 has 160 divisors (see below), whose sum is σ = 567249408. Its totient is φ = 61931520.

The previous prime is 199082491. The next prime is 199082497. The reversal of 199082496 is 694280991.

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

It is not an unprimeable number, because it can be changed into a prime (199082491) 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, 1761736 + ... + 1761848.

Almost surely, 2199082496 is an apocalyptic number.

199082496 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 199082496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283624704).

199082496 is an abundant number, since it is smaller than the sum of its proper divisors (368166912).

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

199082496 is a wasteful number, since it uses less digits than its factorization.

199082496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 48.

The square root of 199082496 is about 14109.6596698857. The cubic root of 199082496 is about 583.9079106687.

The spelling of 199082496 in words is "one hundred ninety-nine million, eighty-two thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 37 48 62 64 74 93 96 111 113 124 128 148 186 192 222 226 248 256 296 339 372 384 444 452 496 512 592 678 744 768 888 904 992 1147 1184 1356 1488 1536 1776 1808 1984 2294 2368 2712 2976 3441 3503 3552 3616 3968 4181 4588 4736 5424 5952 6882 7006 7104 7232 7936 8362 9176 9472 10509 10848 11904 12543 13764 14012 14208 14464 15872 16724 18352 18944 21018 21696 23808 25086 27528 28024 28416 28928 33448 36704 42036 43392 47616 50172 55056 56048 56832 57856 66896 73408 84072 86784 100344 110112 112096 129611 133792 146816 168144 173568 200688 220224 224192 259222 267584 293632 336288 388833 401376 440448 448384 518444 535168 587264 672576 777666 802752 880896 896768 1036888 1070336 1345152 1555332 1605504 1761792 1793536 2073776 2140672 2690304 3110664 3211008 4147552 5380608 6221328 6422016 8295104 12442656 16590208 24885312 33180416 49770624 66360832 99541248 199082496