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39104046 = 235174733
BaseRepresentation
bin1001010100101…
…0111000101110
32201120200200000
42111022320232
540002312141
63514045130
7653243652
oct225127056
981520600
1039104046
11200894a3
12111197a6
138141ab7
14529ca62
1536765b6
hex254ae2e

39104046 has 48 divisors (see below), whose sum is σ = 93051504. Its totient is φ = 12265344.

The previous prime is 39104011. The next prime is 39104057. The reversal of 39104046 is 64040193.

39104046 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 23 ways as a sum of consecutive naturals, for example, 5896 + ... + 10628.

It is an arithmetic number, because the mean of its divisors is an integer number (1938573).

Almost surely, 239104046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39104046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46525752).

39104046 is an abundant number, since it is smaller than the sum of its proper divisors (53947458).

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

39104046 is a wasteful number, since it uses less digits than its factorization.

39104046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4767 (or 4755 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 39104046 is about 6253.3227967218. The cubic root of 39104046 is about 339.4224508604.

The spelling of 39104046 in words is "thirty-nine million, one hundred four thousand, forty-six".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 81 102 153 162 243 306 459 486 918 1377 2754 4131 4733 8262 9466 14199 28398 42597 80461 85194 127791 160922 241383 255582 383373 482766 724149 766746 1150119 1448298 2172447 2300238 4344894 6517341 13034682 19552023 39104046