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42800828 = 2271528601
BaseRepresentation
bin1010001101000…
…1011010111100
32222112111200212
42203101122330
541424111303
64125211552
71026541520
oct243213274
988474625
1042800828
1122183994
1212400bb8
138b37645
145981d80
153b56ad8
hex28d16bc

42800828 has 12 divisors (see below), whose sum is σ = 85601712. Its totient is φ = 18343200.

The previous prime is 42800827. The next prime is 42800831. The reversal of 42800828 is 82800824.

42800828 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

42800828 is an admirable number.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 42800794 and 42800803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42800827) 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 3 ways as a sum of consecutive naturals, for example, 764273 + ... + 764328.

It is an arithmetic number, because the mean of its divisors is an integer number (7133476).

Almost surely, 242800828 is an apocalyptic number.

It is an amenable number.

42800828 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

42800828 is a wasteful number, since it uses less digits than its factorization.

42800828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1528612 (or 1528610 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 32.

The square root of 42800828 is about 6542.2341749589. The cubic root of 42800828 is about 349.7980549315.

The spelling of 42800828 in words is "forty-two million, eight hundred thousand, eight hundred twenty-eight".

Divisors: 1 2 4 7 14 28 1528601 3057202 6114404 10700207 21400414 42800828