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2979288 = 2333131061
BaseRepresentation
bin1011010111010111011000
312121100211000
423113113120
51230314123
6143505000
734215654
oct13272730
95540730
102979288
111755424
12bb8160
138040c0
14577a64
153dcb43
hex2d75d8

2979288 has 64 divisors (see below), whose sum is σ = 8920800. Its totient is φ = 915840.

The previous prime is 2979281. The next prime is 2979299. The reversal of 2979288 is 8829792.

It is a super-3 number, since 3×29792883 = 79333883991955247616, which contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2979281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2278 + ... + 3338.

22979288 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 2979288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4460400).

2979288 is an abundant number, since it is smaller than the sum of its proper divisors (5941512).

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

2979288 is a wasteful number, since it uses less digits than its factorization.

2979288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1089 (or 1079 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The square root of 2979288 is about 1726.0614125807. The cubic root of 2979288 is about 143.8922805515.

The spelling of 2979288 in words is "two million, nine hundred seventy-nine thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 312 351 468 702 936 1061 1404 2122 2808 3183 4244 6366 8488 9549 12732 13793 19098 25464 27586 28647 38196 41379 55172 57294 76392 82758 110344 114588 124137 165516 229176 248274 331032 372411 496548 744822 993096 1489644 2979288