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2906442 = 234711233
BaseRepresentation
bin1011000101100101001010
312110122220000
423011211022
51221001232
6142143430
733463410
oct13054512
95418800
102906442
111705720
12b81b76
137a9bb6
145592b0
153c627c
hex2c594a

2906442 has 80 divisors (see below), whose sum is σ = 8154432. Its totient is φ = 751680.

The previous prime is 2906429. The next prime is 2906443. The reversal of 2906442 is 2446092.

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

It is not an unprimeable number, because it can be changed into a prime (2906443) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12358 + ... + 12590.

22906442 is an apocalyptic number.

2906442 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2906442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4077216).

2906442 is an abundant number, since it is smaller than the sum of its proper divisors (5247990).

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

2906442 is a wasteful number, since it uses less digits than its factorization.

2906442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2906442 is about 1704.8290236854. The cubic root of 2906442 is about 142.7098293815.

The spelling of 2906442 in words is "two million, nine hundred six thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 81 99 126 154 162 189 198 231 233 297 378 462 466 567 594 693 699 891 1134 1386 1398 1631 1782 2079 2097 2563 3262 4158 4194 4893 5126 6237 6291 7689 9786 12474 12582 14679 15378 17941 18873 23067 29358 35882 37746 44037 46134 53823 69201 88074 107646 132111 138402 161469 207603 264222 322938 415206 484407 968814 1453221 2906442