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2768484 = 2231741331
BaseRepresentation
bin1010100011111001100100
312012122122110
422203321210
51202042414
6135201020
732350245
oct12437144
95178573
102768484
111621004
12b16170
1375c174
14520ccc
1539a459
hex2a3e64

2768484 has 48 divisors (see below), whose sum is σ = 7027776. Its totient is φ = 844800.

The previous prime is 2768483. The next prime is 2768489. The reversal of 2768484 is 4848672.

2768484 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2768483) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 8199 + ... + 8529.

It is an arithmetic number, because the mean of its divisors is an integer number (146412).

22768484 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 2768484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3513888).

2768484 is an abundant number, since it is smaller than the sum of its proper divisors (4259292).

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

2768484 is a wasteful number, since it uses less digits than its factorization.

2768484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 394 counting only the distinct ones).

The product of its digits is 86016, while the sum is 39.

The square root of 2768484 is about 1663.8761973176. The cubic root of 2768484 is about 140.4151622005.

The spelling of 2768484 in words is "two million, seven hundred sixty-eight thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 12 17 34 41 51 68 82 102 123 164 204 246 331 492 662 697 993 1324 1394 1986 2091 2788 3972 4182 5627 8364 11254 13571 16881 22508 27142 33762 40713 54284 67524 81426 162852 230707 461414 692121 922828 1384242 2768484