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2833938 = 232296189
BaseRepresentation
bin1010110011111000010010
312022222102200
422303320102
51211141223
6140424030
733042132
oct12637022
95288380
102833938
1116661a8
12b48016
13782bb3
1453aac2
153aea43
hex2b3e12

2833938 has 48 divisors (see below), whose sum is σ = 6528600. Its totient is φ = 887040.

The previous prime is 2833937. The next prime is 2833969. The reversal of 2833938 is 8393382.

2833938 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1238769 + 1595169 = 1113^2 + 1263^2 .

It is not an unprimeable number, because it can be changed into a prime (2833937) 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 23 ways as a sum of consecutive naturals, for example, 31798 + ... + 31886.

22833938 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2833938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3264300).

2833938 is an abundant number, since it is smaller than the sum of its proper divisors (3694662).

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

2833938 is a wasteful number, since it uses less digits than its factorization.

2833938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 184 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 2833938 is about 1683.4304262428. The cubic root of 2833938 is about 141.5131445709.

The spelling of 2833938 in words is "two million, eight hundred thirty-three thousand, nine hundred thirty-eight".

Divisors: 1 2 3 6 9 18 29 58 61 87 89 122 174 178 183 261 267 366 522 534 549 801 1098 1602 1769 2581 3538 5162 5307 5429 7743 10614 10858 15486 15921 16287 23229 31842 32574 46458 48861 97722 157441 314882 472323 944646 1416969 2833938