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2812484272 = 2413191096529
BaseRepresentation
bin1010011110100011…
…0001101010110000
321021000012000010011
42213220301222300
521224443444042
61143025144304
7126460502413
oct24750615260
97230160104
102812484272
111213635074
12665a8b094
1335a8ab7a0
141c9753b7a
15116da3a17
hexa7a31ab0

2812484272 has 80 divisors (see below), whose sum is σ = 6234844000. Its totient is φ = 1218281472.

The previous prime is 2812484261. The next prime is 2812484303. The reversal of 2812484272 is 2724842182.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 427504 + ... + 434032.

It is an arithmetic number, because the mean of its divisors is an integer number (77935550).

Almost surely, 22812484272 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 2812484272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3117422000).

2812484272 is an abundant number, since it is smaller than the sum of its proper divisors (3422359728).

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

2812484272 is a wasteful number, since it uses less digits than its factorization.

2812484272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6678 (or 6672 counting only the distinct ones).

The product of its digits is 114688, while the sum is 40.

The square root of 2812484272 is about 53032.8603037777. The cubic root of 2812484272 is about 1411.5514120963.

The spelling of 2812484272 in words is "two billion, eight hundred twelve million, four hundred eighty-four thousand, two hundred seventy-two".

Divisors: 1 2 4 8 13 16 19 26 38 52 76 104 109 152 208 218 247 304 436 494 872 988 1417 1744 1976 2071 2834 3952 4142 5668 6529 8284 11336 13058 16568 22672 26116 26923 33136 52232 53846 84877 104464 107692 124051 169754 215384 248102 339508 430768 496204 679016 711661 992408 1358032 1423322 1612663 1984816 2846644 3225326 5693288 6450652 9251593 11386576 12901304 13521559 18503186 25802608 27043118 37006372 54086236 74012744 108172472 148025488 175780267 216344944 351560534 703121068 1406242136 2812484272