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195920592 = 2437599883
BaseRepresentation
bin10111010110110…
…00001011010000
3111122122210112020
423223120023100
5400123424332
631235131440
74566204030
oct1353301320
9448583466
10195920592
11a065704a
1255743b80
133178955a
141c03d8c0
151230082c
hexbad82d0

195920592 has 80 divisors (see below), whose sum is σ = 588295680. Its totient is φ = 55022976.

The previous prime is 195920551. The next prime is 195920611. The reversal of 195920592 is 295029591.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 14883 + ... + 24765.

It is an arithmetic number, because the mean of its divisors is an integer number (7353696).

Almost surely, 2195920592 is an apocalyptic number.

195920592 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 195920592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294147840).

195920592 is an abundant number, since it is smaller than the sum of its proper divisors (392375088).

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

195920592 is a wasteful number, since it uses less digits than its factorization.

195920592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9960 (or 9954 counting only the distinct ones).

The product of its (nonzero) digits is 72900, while the sum is 42.

The square root of 195920592 is about 13997.1637126955. The cubic root of 195920592 is about 580.8001164917.

The spelling of 195920592 in words is "one hundred ninety-five million, nine hundred twenty thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 59 84 112 118 168 177 236 336 354 413 472 708 826 944 1239 1416 1652 2478 2832 3304 4956 6608 9883 9912 19766 19824 29649 39532 59298 69181 79064 118596 138362 158128 207543 237192 276724 415086 474384 553448 583097 830172 1106896 1166194 1660344 1749291 2332388 3320688 3498582 4081679 4664776 6997164 8163358 9329552 12245037 13994328 16326716 24490074 27988656 32653432 48980148 65306864 97960296 195920592