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5981892 = 2237175971
BaseRepresentation
bin10110110100011011000100
3102020220121120
4112310123010
53012410032
6332113540
7101562630
oct26643304
912226546
105981892
113416314
1220058b0
1313159a7
14b19dc0
157d262c
hex5b46c4

5981892 has 96 divisors (see below), whose sum is σ = 17418240. Its totient is φ = 1559040.

The previous prime is 5981891. The next prime is 5981939. The reversal of 5981892 is 2981895.

It is a happy number.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (5981891) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 84217 + ... + 84287.

It is an arithmetic number, because the mean of its divisors is an integer number (181440).

Almost surely, 25981892 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 5981892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8709120).

5981892 is an abundant number, since it is smaller than the sum of its proper divisors (11436348).

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

5981892 is a wasteful number, since it uses less digits than its factorization.

5981892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 159 counting only the distinct ones).

The product of its digits is 51840, while the sum is 42.

The square root of 5981892 is about 2445.7906697017. The cubic root of 5981892 is about 181.5290727435.

The spelling of 5981892 in words is "five million, nine hundred eighty-one thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 59 68 71 84 102 118 119 142 177 204 213 236 238 284 354 357 413 426 476 497 708 714 826 852 994 1003 1207 1239 1428 1491 1652 1988 2006 2414 2478 2982 3009 3621 4012 4189 4828 4956 5964 6018 7021 7242 8378 8449 12036 12567 14042 14484 16756 16898 21063 25134 25347 28084 29323 33796 42126 50268 50694 58646 71213 84252 87969 101388 117292 142426 175938 213639 284852 351876 427278 498491 854556 996982 1495473 1993964 2990946 5981892