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2812272 = 243411429
BaseRepresentation
bin1010101110100101110000
312021212201020
422232211300
51204443042
6140135440
732622021
oct12564560
95255636
102812272
1116509a1
12b37580
13776088
14532c48
153a83ec
hex2ae970

2812272 has 40 divisors (see below), whose sum is σ = 7447440. Its totient is φ = 913920.

The previous prime is 2812267. The next prime is 2812291. The reversal of 2812272 is 2722182.

It is a happy number.

2812272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1254 + ... + 2682.

It is an arithmetic number, because the mean of its divisors is an integer number (186186).

22812272 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 2812272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3723720).

2812272 is an abundant number, since it is smaller than the sum of its proper divisors (4635168).

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

2812272 is a wasteful number, since it uses less digits than its factorization.

2812272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1481 (or 1475 counting only the distinct ones).

The product of its digits is 896, while the sum is 24.

The square root of 2812272 is about 1676.9830052806. The cubic root of 2812272 is about 141.1515898964.

The spelling of 2812272 in words is "two million, eight hundred twelve thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 82 123 164 246 328 492 656 984 1429 1968 2858 4287 5716 8574 11432 17148 22864 34296 58589 68592 117178 175767 234356 351534 468712 703068 937424 1406136 2812272