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195376064 = 2613449523
BaseRepresentation
bin10111010010100…
…11001111000000
3111121122010120112
423221103033000
5400004013224
631215330452
74561445342
oct1351231700
9447563515
10195376064
11a0314a24
1255520a28
1331628750
141bd3b292
151224430e
hexba533c0

195376064 has 56 divisors (see below), whose sum is σ = 419252400. Its totient is φ = 89800704.

The previous prime is 195376061. The next prime is 195376079. The reversal of 195376064 is 460673591.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (195376061) 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 7 ways as a sum of consecutive naturals, for example, 373307 + ... + 373829.

It is an arithmetic number, because the mean of its divisors is an integer number (7486650).

Almost surely, 2195376064 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 195376064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209626200).

195376064 is an abundant number, since it is smaller than the sum of its proper divisors (223876336).

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

195376064 is a wasteful number, since it uses less digits than its factorization.

195376064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 997 (or 987 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 41.

The square root of 195376064 is about 13977.6988091746. The cubic root of 195376064 is about 580.2615388047.

The spelling of 195376064 in words is "one hundred ninety-five million, three hundred seventy-six thousand, sixty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 449 523 832 898 1046 1796 2092 3592 4184 5837 6799 7184 8368 11674 13598 14368 16736 23348 27196 28736 33472 46696 54392 93392 108784 186784 217568 234827 373568 435136 469654 939308 1878616 3052751 3757232 6105502 7514464 12211004 15028928 24422008 48844016 97688032 195376064