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5709042 = 23517691
BaseRepresentation
bin10101110001110011110010
3101202001100000
4111301303302
52430142132
6322210430
766345303
oct25616362
911661300
105709042
11324a319
121ab3a16
13124b741
14a887aa
1577b87c
hex571cf2

5709042 has 48 divisors (see below), whose sum is σ = 13601952. Its totient is φ = 1788480.

The previous prime is 5709029. The next prime is 5709061. The reversal of 5709042 is 2409075.

5709042 is a `hidden beast` number, since 570 + 90 + 4 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 5708997 and 5709015.

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, 7917 + ... + 8607.

It is an arithmetic number, because the mean of its divisors is an integer number (283374).

Almost surely, 25709042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5709042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6800976).

5709042 is an abundant number, since it is smaller than the sum of its proper divisors (7892910).

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

5709042 is a wasteful number, since it uses less digits than its factorization.

5709042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 5709042 is about 2389.3601653999. The cubic root of 5709042 is about 178.7260042446.

The spelling of 5709042 in words is "five million, seven hundred nine thousand, forty-two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 81 102 153 162 243 306 459 486 691 918 1377 1382 2073 2754 4131 4146 6219 8262 11747 12438 18657 23494 35241 37314 55971 70482 105723 111942 167913 211446 317169 335826 634338 951507 1903014 2854521 5709042