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2857842 = 234132359
BaseRepresentation
bin1010111001101101110010
312101012020000
422321231302
51212422332
6141130430
733201621
oct12715562
95335200
102857842
111682159
12b59a16
13790a40
145456b8
153b6b7c
hex2b9b72

2857842 has 80 divisors (see below), whose sum is σ = 7318080. Its totient is φ = 826848.

The previous prime is 2857831. The next prime is 2857849. The reversal of 2857842 is 2487582.

It is a happy number.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 2857797 and 2857806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2857849) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 48409 + ... + 48467.

It is an arithmetic number, because the mean of its divisors is an integer number (91476).

22857842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2857842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3659040).

2857842 is an abundant number, since it is smaller than the sum of its proper divisors (4460238).

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

2857842 is a wasteful number, since it uses less digits than its factorization.

2857842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 100 counting only the distinct ones).

The product of its digits is 35840, while the sum is 36.

The square root of 2857842 is about 1690.5153060532. The cubic root of 2857842 is about 141.9099144278.

The spelling of 2857842 in words is "two million, eight hundred fifty-seven thousand, eight hundred forty-two".

Divisors: 1 2 3 6 9 13 18 23 26 27 39 46 54 59 69 78 81 117 118 138 162 177 207 234 299 351 354 414 531 598 621 702 767 897 1053 1062 1242 1357 1534 1593 1794 1863 2106 2301 2691 2714 3186 3726 4071 4602 4779 5382 6903 8073 8142 9558 12213 13806 16146 17641 20709 24219 24426 35282 36639 41418 48438 52923 62127 73278 105846 109917 124254 158769 219834 317538 476307 952614 1428921 2857842