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199492848 = 2433538713
BaseRepresentation
bin10111110010000…
…00010011110000
3111220101021202000
423321000103300
5402032232343
631443454000
74641442542
oct1371002360
9456337660
10199492848
11a2676a25
1256987300
133243a509
141c6cd692
15127a8ed3
hexbe404f0

199492848 has 80 divisors (see below), whose sum is σ = 583489440. Its totient is φ = 65235456.

The previous prime is 199492847. The next prime is 199492861. The reversal of 199492848 is 848294991.

It is a super-2 number, since 2×1994928482 = 79594792806302208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 199492794 and 199492803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199492847) 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, 18540 + ... + 27252.

It is an arithmetic number, because the mean of its divisors is an integer number (7293618).

Almost surely, 2199492848 is an apocalyptic number.

199492848 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 199492848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291744720).

199492848 is an abundant number, since it is smaller than the sum of its proper divisors (383996592).

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

199492848 is a wasteful number, since it uses less digits than its factorization.

199492848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8783 (or 8771 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 54.

The square root of 199492848 is about 14124.1937115008. The cubic root of 199492848 is about 584.3088220902.

The spelling of 199492848 in words is "one hundred ninety-nine million, four hundred ninety-two thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 53 54 72 106 108 144 159 212 216 318 424 432 477 636 848 954 1272 1431 1908 2544 2862 3816 5724 7632 8713 11448 17426 22896 26139 34852 52278 69704 78417 104556 139408 156834 209112 235251 313668 418224 461789 470502 627336 923578 941004 1254672 1385367 1847156 1882008 2770734 3694312 3764016 4156101 5541468 7388624 8312202 11082936 12468303 16624404 22165872 24936606 33248808 49873212 66497616 99746424 199492848