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2874258 = 2331731101
BaseRepresentation
bin1010111101101110010010
312102000202000
422331232102
51213434013
6141334430
733300522
oct12755622
95360660
102874258
111693522
12b67416
1379835a
1454b682
153bb973
hex2bdb92

2874258 has 64 divisors (see below), whose sum is σ = 7050240. Its totient is φ = 864000.

The previous prime is 2874253. The next prime is 2874269. The reversal of 2874258 is 8524782.

It is a happy number.

It is a super-2 number, since 2×28742582 = 16522718101128, which contains 22 as substring.

Its product of digits (35840) is a multiple of the sum of its prime factors (160).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2874251) 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 31 ways as a sum of consecutive naturals, for example, 28408 + ... + 28508.

It is an arithmetic number, because the mean of its divisors is an integer number (110160).

22874258 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2874258, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3525120).

2874258 is an abundant number, since it is smaller than the sum of its proper divisors (4175982).

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

2874258 is a wasteful number, since it uses less digits than its factorization.

2874258 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 154 counting only the distinct ones).

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

The square root of 2874258 is about 1695.3636777990. The cubic root of 2874258 is about 142.1811151905.

The spelling of 2874258 in words is "two million, eight hundred seventy-four thousand, two hundred fifty-eight".

Divisors: 1 2 3 6 9 17 18 27 31 34 51 54 62 93 101 102 153 186 202 279 303 306 459 527 558 606 837 909 918 1054 1581 1674 1717 1818 2727 3131 3162 3434 4743 5151 5454 6262 9393 9486 10302 14229 15453 18786 28179 28458 30906 46359 53227 56358 84537 92718 106454 159681 169074 319362 479043 958086 1437129 2874258