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3893442 = 2372171941
BaseRepresentation
bin1110110110100011000010
321022210210120
432312203002
51444042232
6215241110
745044100
oct16664302
97283716
103893442
11221a223
121379196
13a64217
14734c70
1551d92c
hex3b68c2

3893442 has 96 divisors (see below), whose sum is σ = 10342080. Its totient is φ = 967680.

The previous prime is 3893431. The next prime is 3893471. The reversal of 3893442 is 2443983.

3893442 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (20736) is a multiple of the sum of its prime factors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 94942 + ... + 94982.

It is an arithmetic number, because the mean of its divisors is an integer number (107730).

Almost surely, 23893442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3893442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5171040).

3893442 is an abundant number, since it is smaller than the sum of its proper divisors (6448638).

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

3893442 is a wasteful number, since it uses less digits than its factorization.

3893442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 89 counting only the distinct ones).

The product of its digits is 20736, while the sum is 33.

The square root of 3893442 is about 1973.1806810325. The cubic root of 3893442 is about 157.3178140315.

It can be divided in two parts, 389344 and 2, that multiplied together give a cube (778688 = 923).

The spelling of 3893442 in words is "three million, eight hundred ninety-three thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 14 17 19 21 34 38 41 42 49 51 57 82 98 102 114 119 123 133 147 238 246 266 287 294 323 357 399 574 646 697 714 779 798 833 861 931 969 1394 1558 1666 1722 1862 1938 2009 2091 2261 2337 2499 2793 4018 4182 4522 4674 4879 4998 5453 5586 6027 6783 9758 10906 12054 13243 13566 14637 15827 16359 26486 29274 31654 32718 34153 38171 39729 47481 68306 76342 79458 92701 94962 102459 114513 185402 204918 229026 278103 556206 648907 1297814 1946721 3893442