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2831088 = 243132349
BaseRepresentation
bin1010110011001011110000
312022211112010
422303023300
51211043323
6140402520
733030621
oct12631360
95284463
102831088
111664047
12b46440
13781800
14539a48
153adc93
hex2b32f0

2831088 has 60 divisors (see below), whose sum is σ = 7942200. Its totient is φ = 868608.

The previous prime is 2831069. The next prime is 2831089. The reversal of 2831088 is 8801382.

2831088 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2831089) 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 11 ways as a sum of consecutive naturals, for example, 7938 + ... + 8286.

It is an arithmetic number, because the mean of its divisors is an integer number (132370).

22831088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2831088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3971100).

2831088 is an abundant number, since it is smaller than the sum of its proper divisors (5111112).

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

2831088 is a wasteful number, since it uses less digits than its factorization.

2831088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 2831088 is about 1682.5837274858. The cubic root of 2831088 is about 141.4656902585.

The spelling of 2831088 in words is "two million, eight hundred thirty-one thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 169 208 312 338 349 507 624 676 698 1014 1047 1352 1396 2028 2094 2704 2792 4056 4188 4537 5584 8112 8376 9074 13611 16752 18148 27222 36296 54444 58981 72592 108888 117962 176943 217776 235924 353886 471848 707772 943696 1415544 2831088