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195854052 = 223192291559
BaseRepresentation
bin10111010110001…
…11111011100100
3111122112102020210
423223013323210
5400114312202
631233455420
74565506032
oct1353077344
9448472223
10195854052
11a0611059
1255711570
1331765194
141c023552
15122dac6c
hexbac7ee4

195854052 has 72 divisors (see below), whose sum is σ = 499262400. Its totient is φ = 59677632.

The previous prime is 195853979. The next prime is 195854053. The reversal of 195854052 is 250458591.

It is a self number, because there is not a number n which added to its sum of digits gives 195854052.

It is not an unprimeable number, because it can be changed into a prime (195854053) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 124849 + ... + 126407.

It is an arithmetic number, because the mean of its divisors is an integer number (6934200).

Almost surely, 2195854052 is an apocalyptic number.

195854052 is a gapful number since it is divisible by the number (12) 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 195854052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249631200).

195854052 is an abundant number, since it is smaller than the sum of its proper divisors (303408348).

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

195854052 is a wasteful number, since it uses less digits than its factorization.

195854052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1633 (or 1612 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 39.

The square root of 195854052 is about 13994.7866007310. The cubic root of 195854052 is about 580.7343571700.

The spelling of 195854052 in words is "one hundred ninety-five million, eight hundred fifty-four thousand, fifty-two".

Divisors: 1 2 3 4 6 12 19 29 38 57 58 76 87 114 116 174 228 348 361 551 722 1083 1102 1444 1559 1653 2166 2204 3118 3306 4332 4677 6236 6612 9354 10469 18708 20938 29621 31407 41876 45211 59242 62814 88863 90422 118484 125628 135633 177726 180844 271266 355452 542532 562799 859009 1125598 1688397 1718018 2251196 2577027 3376794 3436036 5154054 6753588 10308108 16321171 32642342 48963513 65284684 97927026 195854052