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39104142 = 23711531597
BaseRepresentation
bin1001010100101…
…0111010001110
32201120200210120
42111022322032
540002313032
63514045410
7653244150
oct225127216
981520716
1039104142
1120089580
1211119866
138141b5c
14529cad0
15367662c
hex254ae8e

39104142 has 64 divisors (see below), whose sum is σ = 99408384. Its totient is φ = 9959040.

The previous prime is 39104137. The next prime is 39104203. The reversal of 39104142 is 24140193.

39104142 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 23688 + ... + 25284.

It is an arithmetic number, because the mean of its divisors is an integer number (1553256).

Almost surely, 239104142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39104142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49704192).

39104142 is an abundant number, since it is smaller than the sum of its proper divisors (60304242).

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

39104142 is a wasteful number, since it uses less digits than its factorization.

39104142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1673.

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 39104142 is about 6253.3304726362. The cubic root of 39104142 is about 339.4227286196.

The spelling of 39104142 in words is "thirty-nine million, one hundred four thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 53 66 77 106 154 159 231 318 371 462 583 742 1113 1166 1597 1749 2226 3194 3498 4081 4791 8162 9582 11179 12243 17567 22358 24486 33537 35134 52701 67074 84641 105402 122969 169282 245938 253923 368907 507846 592487 737814 931051 1184974 1777461 1862102 2793153 3554922 5586306 6517357 13034714 19552071 39104142