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199098752 = 2710714537
BaseRepresentation
bin10111101111000…
…00000110000000
3111212122021010212
423313200012000
5401432130002
631431213252
74635211556
oct1367400600
9455567125
10199098752
11a2427926
1256817228
1332330018
141c629bd6
151272c352
hexbde0180

199098752 has 32 divisors (see below), whose sum is σ = 400376520. Its totient is φ = 98612224.

The previous prime is 199098751. The next prime is 199098761. The reversal of 199098752 is 257890991.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 199098752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199098751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6428 + ... + 20964.

Almost surely, 2199098752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199098752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200188260).

199098752 is an abundant number, since it is smaller than the sum of its proper divisors (201277768).

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

199098752 is a wasteful number, since it uses less digits than its factorization.

199098752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14658 (or 14646 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 50.

The square root of 199098752 is about 14110.2357173791. The cubic root of 199098752 is about 583.9238031569.

The spelling of 199098752 in words is "one hundred ninety-nine million, ninety-eight thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 16 32 64 107 128 214 428 856 1712 3424 6848 13696 14537 29074 58148 116296 232592 465184 930368 1555459 1860736 3110918 6221836 12443672 24887344 49774688 99549376 199098752