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2979284 = 2271117569
BaseRepresentation
bin1011010111010111010100
312121100210212
423113113110
51230314114
6143504552
734215650
oct13272724
95540725
102979284
111755420
12bb8158
138040b9
14577a60
153dcb3e
hex2d75d4

2979284 has 48 divisors (see below), whose sum is σ = 6894720. Its totient is φ = 1090560.

The previous prime is 2979281. The next prime is 2979299. The reversal of 2979284 is 4829792.

It is a super-3 number, since 3×29792843 = 79333564450732734912, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

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, 4952 + ... + 5520.

It is an arithmetic number, because the mean of its divisors is an integer number (143640).

22979284 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 2979284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3447360).

2979284 is an abundant number, since it is smaller than the sum of its proper divisors (3915436).

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

2979284 is a wasteful number, since it uses less digits than its factorization.

2979284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 606 counting only the distinct ones).

The product of its digits is 72576, while the sum is 41.

The square root of 2979284 is about 1726.0602538730. The cubic root of 2979284 is about 143.8922161547.

The spelling of 2979284 in words is "two million, nine hundred seventy-nine thousand, two hundred eighty-four".

Divisors: 1 2 4 7 11 14 17 22 28 34 44 68 77 119 154 187 238 308 374 476 569 748 1138 1309 2276 2618 3983 5236 6259 7966 9673 12518 15932 19346 25036 38692 43813 67711 87626 106403 135422 175252 212806 270844 425612 744821 1489642 2979284