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192896208 = 24331971331
BaseRepresentation
bin10110111111101…
…01110011010000
3111102222010212000
423133311303100
5343340134313
631050234000
74531406421
oct1337656320
9442863760
10192896208
119998085a
1254725900
1330c6aa8b
141b893648
1511e04673
hexb7f5cd0

192896208 has 160 divisors (see below), whose sum is σ = 592819200. Its totient is φ = 59875200.

The previous prime is 192896173. The next prime is 192896243. The reversal of 192896208 is 802698291.

192896208 is a `hidden beast` number, since 19 + 2 + 8 + 9 + 620 + 8 = 666.

192896208 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (192896173) and next prime (192896243).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 582603 + ... + 582933.

It is an arithmetic number, because the mean of its divisors is an integer number (3705120).

Almost surely, 2192896208 is an apocalyptic number.

192896208 is a gapful number since it is divisible by the number (18) 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 192896208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296409600).

192896208 is an abundant number, since it is smaller than the sum of its proper divisors (399922992).

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

192896208 is a wasteful number, since it uses less digits than its factorization.

192896208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 192896208 is about 13888.7079312656. The cubic root of 192896208 is about 577.7960431876.

The spelling of 192896208 in words is "one hundred ninety-two million, eight hundred ninety-six thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 71 72 76 108 114 142 144 152 171 213 216 228 284 304 331 342 426 432 456 513 568 639 662 684 852 912 993 1026 1136 1278 1324 1349 1368 1704 1917 1986 2052 2556 2648 2698 2736 2979 3408 3834 3972 4047 4104 5112 5296 5396 5958 6289 7668 7944 8094 8208 8937 10224 10792 11916 12141 12578 15336 15888 16188 17874 18867 21584 23501 23832 24282 25156 30672 32376 35748 36423 37734 47002 47664 48564 50312 56601 64752 70503 71496 72846 75468 94004 97128 100624 113202 141006 142992 145692 150936 169803 188008 194256 211509 226404 282012 291384 301872 339606 376016 423018 446519 452808 564024 582768 634527 679212 846036 893038 905616 1128048 1269054 1339557 1358424 1692072 1786076 2538108 2679114 2716848 3384144 3572152 4018671 5076216 5358228 7144304 8037342 10152432 10716456 12056013 16074684 21432912 24112026 32149368 48224052 64298736 96448104 192896208