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64082376 = 23321575669
BaseRepresentation
bin1111010001110…
…1000111001000
311110120201111100
43310131013020
5112401114001
610205301400
71405456041
oct364350710
9143521440
1064082376
113319a046
1219564860
1310379187
1487218c8
15595c586
hex3d1d1c8

64082376 has 48 divisors (see below), whose sum is σ = 174692700. Its totient is φ = 21220992.

The previous prime is 64082311. The next prime is 64082423. The reversal of 64082376 is 67328046.

64082376 is a `hidden beast` number, since 640 + 8 + 2 + 3 + 7 + 6 = 666.

64082376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 60372900 + 3709476 = 7770^2 + 1926^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 64082376.

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 11 ways as a sum of consecutive naturals, for example, 8470 + ... + 14138.

Almost surely, 264082376 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 64082376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87346350).

64082376 is an abundant number, since it is smaller than the sum of its proper divisors (110610324).

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

64082376 is a wasteful number, since it uses less digits than its factorization.

64082376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5838 (or 5831 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 64082376 is about 8005.1468443746. The cubic root of 64082376 is about 400.1715430886.

The spelling of 64082376 in words is "sixty-four million, eighty-two thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 157 314 471 628 942 1256 1413 1884 2826 3768 5652 5669 11304 11338 17007 22676 34014 45352 51021 68028 102042 136056 204084 408168 890033 1780066 2670099 3560132 5340198 7120264 8010297 10680396 16020594 21360792 32041188 64082376