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2828280 = 2335721337
BaseRepresentation
bin1010110010011111111000
312022200200010
422302133320
51211001110
6140341520
733016500
oct12623770
95280603
102828280
111661a24
12b448a0
13780450
14538a00
153ad020
hex2b27f8

2828280 has 192 divisors, whose sum is σ = 10916640. Its totient is φ = 580608.

The previous prime is 2828257. The next prime is 2828281. The reversal of 2828280 is 828282.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2828281) 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 47 ways as a sum of consecutive naturals, for example, 76422 + ... + 76458.

22828280 is an apocalyptic number.

2828280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2828280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5458320).

2828280 is an abundant number, since it is smaller than the sum of its proper divisors (8088360).

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

2828280 is a wasteful number, since it uses less digits than its factorization.

2828280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 2828280 is about 1681.7490894899. The cubic root of 2828280 is about 141.4189041157.

The spelling of 2828280 in words is "two million, eight hundred twenty-eight thousand, two hundred eighty".