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195828010 = 25722913781
BaseRepresentation
bin10111010110000…
…01100100101010
3111122111002112021
423223001210222
5400112444020
631233135054
74565340100
oct1353014452
9448432467
10195828010
11a05a3534
12556ba48a
1331756381
141c017c70
15122d31aa
hexbac192a

195828010 has 48 divisors (see below), whose sum is σ = 424209960. Its totient is φ = 64821120.

The previous prime is 195828007. The next prime is 195828019. The reversal of 195828010 is 10828591.

It can be written as a sum of positive squares in 4 ways, for example, as 163916809 + 31911201 = 12803^2 + 5649^2 .

It is not an unprimeable number, because it can be changed into a prime (195828019) 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 23 ways as a sum of consecutive naturals, for example, 7320 + ... + 21100.

Almost surely, 2195828010 is an apocalyptic number.

195828010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

195828010 is an abundant number, since it is smaller than the sum of its proper divisors (228381950).

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

195828010 is a wasteful number, since it uses less digits than its factorization.

195828010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13831 (or 13824 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 34.

The square root of 195828010 is about 13993.8561518975. The cubic root of 195828010 is about 580.7086166516.

The spelling of 195828010 in words is "one hundred ninety-five million, eight hundred twenty-eight thousand, ten".

Divisors: 1 2 5 7 10 14 29 35 49 58 70 98 145 203 245 290 406 490 1015 1421 2030 2842 7105 13781 14210 27562 68905 96467 137810 192934 399649 482335 675269 799298 964670 1350538 1998245 2797543 3376345 3996490 5595086 6752690 13987715 19582801 27975430 39165602 97914005 195828010