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195876096 = 2831323853
BaseRepresentation
bin10111010110011…
…01010100000000
3111122120112111020
423223031110000
5400121013341
631234145440
74565630223
oct1353152400
9448515436
10195876096
11a0626679
1255722280
1331772220
141c02b5ba
15122e2566
hexbacd500

195876096 has 144 divisors (see below), whose sum is σ = 586513536. Its totient is φ = 57581568.

The previous prime is 195876071. The next prime is 195876151. The reversal of 195876096 is 690678591.

It is a congruent number.

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, 229206 + ... + 230058.

Almost surely, 2195876096 is an apocalyptic number.

195876096 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 195876096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293256768).

195876096 is an abundant number, since it is smaller than the sum of its proper divisors (390637440).

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

195876096 is a wasteful number, since it uses less digits than its factorization.

195876096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 908 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 51.

The square root of 195876096 is about 13995.5741575685. The cubic root of 195876096 is about 580.7561441891.

The spelling of 195876096 in words is "one hundred ninety-five million, eight hundred seventy-six thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 23 24 26 32 39 46 48 52 64 69 78 92 96 104 128 138 156 184 192 208 256 276 299 312 368 384 416 552 598 624 736 768 832 853 897 1104 1196 1248 1472 1664 1706 1794 2208 2392 2496 2559 2944 3328 3412 3588 4416 4784 4992 5118 5888 6824 7176 8832 9568 9984 10236 11089 13648 14352 17664 19136 19619 20472 22178 27296 28704 33267 38272 39238 40944 44356 54592 57408 58857 66534 76544 78476 81888 88712 109184 114816 117714 133068 156952 163776 177424 218368 229632 235428 255047 266136 313904 327552 354848 470856 510094 532272 627808 655104 709696 765141 941712 1020188 1064544 1255616 1419392 1530282 1883424 2040376 2129088 2511232 2838784 3060564 3766848 4080752 4258176 5022464 6121128 7533696 8161504 8516352 12242256 15067392 16323008 24484512 32646016 48969024 65292032 97938048 195876096