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199290496 = 2710714551
BaseRepresentation
bin10111110000011…
…10111010000000
3111220000000011111
423320032322000
5402004243441
631435253104
74636640566
oct1370167200
9456000144
10199290496
11a2548999
12568aa194
1332399392
141c679a36
1512769081
hexbe0ee80

199290496 has 32 divisors (see below), whose sum is σ = 400762080. Its totient is φ = 98707200.

The previous prime is 199290493. The next prime is 199290499. The reversal of 199290496 is 694092991.

It is an interprime number because it is at equal distance from previous prime (199290493) and next prime (199290499).

It is a tau number, because it is divible by the number of its divisors (32).

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (199290493) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6421 + ... + 20971.

It is an arithmetic number, because the mean of its divisors is an integer number (12523815).

Almost surely, 2199290496 is an apocalyptic number.

199290496 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 199290496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200381040).

199290496 is an abundant number, since it is smaller than the sum of its proper divisors (201471584).

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

199290496 is a wasteful number, since it uses less digits than its factorization.

199290496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14672 (or 14660 counting only the distinct ones).

The product of its (nonzero) digits is 314928, while the sum is 49.

The square root of 199290496 is about 14117.0285825311. The cubic root of 199290496 is about 584.1111941897. Note that the first 4 decimals are identical.

The spelling of 199290496 in words is "one hundred ninety-nine million, two hundred ninety thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 32 64 107 128 214 428 856 1712 3424 6848 13696 14551 29102 58204 116408 232816 465632 931264 1556957 1862528 3113914 6227828 12455656 24911312 49822624 99645248 199290496