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3989726442 = 2341310118757
BaseRepresentation
bin1110110111001110…
…0110010011101010
3101022001101002210000
43231303212103222
531132332221232
61455521403430
7200604054342
oct35563462352
911261332700
103989726442
111768107589
12934199576
134b77654a0
1429bc3bd22
151853e627c
hexedce64ea

3989726442 has 80 divisors (see below), whose sum is σ = 9723471912. Its totient is φ = 1215388800.

The previous prime is 3989726431. The next prime is 3989726449. The reversal of 3989726442 is 2446279893.

3989726442 is a `hidden beast` number, since 3 + 98 + 97 + 26 + 442 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3755360961 + 234365481 = 61281^2 + 15309^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3989726449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 203328 + ... + 222084.

Almost surely, 23989726442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3989726442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4861735956).

3989726442 is an abundant number, since it is smaller than the sum of its proper divisors (5733745470).

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

3989726442 is a wasteful number, since it uses less digits than its factorization.

3989726442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18885 (or 18876 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The square root of 3989726442 is about 63164.2813780067. The cubic root of 3989726442 is about 1586.0408654084.

The spelling of 3989726442 in words is "three billion, nine hundred eighty-nine million, seven hundred twenty-six thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 101 117 162 202 234 303 351 606 702 909 1053 1313 1818 2106 2626 2727 3939 5454 7878 8181 11817 16362 18757 23634 35451 37514 56271 70902 106353 112542 168813 212706 243841 337626 487682 506439 731523 1012878 1463046 1519317 1894457 2194569 3038634 3788914 4389138 5683371 6583707 11366742 13167414 17050113 19751121 24627941 34100226 39502242 49255882 51150339 73883823 102300678 147767646 153451017 221651469 306902034 443302938 664954407 1329908814 1994863221 3989726442