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40195764 = 2234737479
BaseRepresentation
bin1001100101010…
…1011010110100
32210122011020000
42121111122310
540242231024
63553311300
7665441550
oct231253264
983564200
1040195764
1120764744
1211565530
13843499b
1454a4860
1537decc9
hex26556b4

40195764 has 120 divisors (see below), whose sum is σ = 123594240. Its totient is φ = 11150784.

The previous prime is 40195751. The next prime is 40195777. The reversal of 40195764 is 46759104.

40195764 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (40195751) and next prime (40195777).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 39 ways as a sum of consecutive naturals, for example, 83677 + ... + 84155.

It is an arithmetic number, because the mean of its divisors is an integer number (1029952).

Almost surely, 240195764 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 40195764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61797120).

40195764 is an abundant number, since it is smaller than the sum of its proper divisors (83398476).

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

40195764 is a wasteful number, since it uses less digits than its factorization.

40195764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 40195764 is about 6340.0129337408. The cubic root of 40195764 is about 342.5522011827.

The spelling of 40195764 in words is "forty million, one hundred ninety-five thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 37 42 54 63 74 81 84 108 111 126 148 162 189 222 252 259 324 333 378 444 479 518 567 666 756 777 958 999 1036 1134 1332 1437 1554 1916 1998 2268 2331 2874 2997 3108 3353 3996 4311 4662 5748 5994 6706 6993 8622 9324 10059 11988 12933 13412 13986 17244 17723 20118 20979 25866 27972 30177 35446 38799 40236 41958 51732 53169 60354 70892 77598 83916 90531 106338 120708 124061 155196 159507 181062 212676 248122 271593 319014 362124 372183 478521 496244 543186 638028 744366 957042 1086372 1116549 1435563 1488732 1914084 2233098 2871126 3349647 4466196 5742252 6699294 10048941 13398588 20097882 40195764