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2279052 = 2232293759
BaseRepresentation
bin1000101100011010001100
311021210021100
420230122030
51040412202
6120503100
725241316
oct10543214
94253240
102279052
111317316
1291aa90
1361a469
144347b6
1530041c
hex22c68c

2279052 has 72 divisors (see below), whose sum is σ = 6224400. Its totient is φ = 701568.

The previous prime is 2279051. The next prime is 2279063. The reversal of 2279052 is 2509722.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2279051) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38599 + ... + 38657.

It is an arithmetic number, because the mean of its divisors is an integer number (86450).

22279052 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 2279052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3112200).

2279052 is an abundant number, since it is smaller than the sum of its proper divisors (3945348).

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

2279052 is a wasteful number, since it uses less digits than its factorization.

2279052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 2279052 is about 1509.6529402482. The cubic root of 2279052 is about 131.5986431372.

The spelling of 2279052 in words is "two million, two hundred seventy-nine thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 29 36 37 58 59 74 87 111 116 118 148 174 177 222 236 261 333 348 354 444 522 531 666 708 1044 1062 1073 1332 1711 2124 2146 2183 3219 3422 4292 4366 5133 6438 6549 6844 8732 9657 10266 12876 13098 15399 19314 19647 20532 26196 30798 38628 39294 61596 63307 78588 126614 189921 253228 379842 569763 759684 1139526 2279052