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39689056 = 2511472399
BaseRepresentation
bin1001011101100…
…1101101100000
32202200102011001
42113121231200
540130022211
63534401344
7661231351
oct227315540
982612131
1039689056
1120448a80
1211360254
1382b8164
1453b1d28
15373eac1
hex25d9b60

39689056 has 48 divisors (see below), whose sum is σ = 87091200. Its totient is φ = 17649280.

The previous prime is 39689029. The next prime is 39689063. The reversal of 39689056 is 65098693.

39689056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×396890562 = 3150442332342272, which contains 22 as substring.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 39688997 and 39689015.

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 7 ways as a sum of consecutive naturals, for example, 15345 + ... + 17743.

It is an arithmetic number, because the mean of its divisors is an integer number (1814400).

Almost surely, 239689056 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 39689056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43545600).

39689056 is an abundant number, since it is smaller than the sum of its proper divisors (47402144).

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

39689056 is a wasteful number, since it uses less digits than its factorization.

39689056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2467 (or 2459 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 46.

The square root of 39689056 is about 6299.9250789196. The cubic root of 39689056 is about 341.1067051680.

The spelling of 39689056 in words is "thirty-nine million, six hundred eighty-nine thousand, fifty-six".

Divisors: 1 2 4 8 11 16 22 32 44 47 88 94 176 188 352 376 517 752 1034 1504 2068 2399 4136 4798 8272 9596 16544 19192 26389 38384 52778 76768 105556 112753 211112 225506 422224 451012 844448 902024 1240283 1804048 2480566 3608096 4961132 9922264 19844528 39689056