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2942037 = 327174167
BaseRepresentation
bin1011001110010001010101
312112110201100
423032101111
51223121122
6143020313
734002240
oct13162125
95473640
102942037
11172a43a
12b9a699
137c0167
14568257
153d1aac
hex2ce455

2942037 has 48 divisors (see below), whose sum is σ = 5346432. Its totient is φ = 1520640.

The previous prime is 2942033. The next prime is 2942041. The reversal of 2942037 is 7302492.

2942037 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2942033) and next prime (2942041).

It is not a de Polignac number, because 2942037 - 22 = 2942033 is a prime.

2942037 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 2942037.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2942033) 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 47 ways as a sum of consecutive naturals, for example, 43878 + ... + 43944.

It is an arithmetic number, because the mean of its divisors is an integer number (111384).

22942037 is an apocalyptic number.

It is an amenable number.

2942037 is a deficient number, since it is larger than the sum of its proper divisors (2404395).

2942037 is a wasteful number, since it uses less digits than its factorization.

2942037 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 2942037 is about 1715.2367183570. The cubic root of 2942037 is about 143.2900530344.

The spelling of 2942037 in words is "two million, nine hundred forty-two thousand, thirty-seven".

Divisors: 1 3 7 9 17 21 41 51 63 67 119 123 153 201 287 357 369 469 603 697 861 1071 1139 1407 2091 2583 2747 3417 4221 4879 6273 7973 8241 10251 14637 19229 23919 24723 43911 46699 57687 71757 140097 173061 326893 420291 980679 2942037