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42828880 = 245535361
BaseRepresentation
bin1010001101100…
…0010001010000
32222120221011211
42203120101100
541431011010
64125545504
71030016353
oct243302120
988527154
1042828880
11221a2a76
1212415294
138b47343
14598c29a
153b6008a
hex28d8450

42828880 has 20 divisors (see below), whose sum is σ = 99577332. Its totient is φ = 17131520.

The previous prime is 42828857. The next prime is 42828959. The reversal of 42828880 is 8882824.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 7354944 + 35473936 = 2712^2 + 5956^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 267601 + ... + 267760.

Almost surely, 242828880 is an apocalyptic number.

42828880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42828880 is an abundant number, since it is smaller than the sum of its proper divisors (56748452).

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

42828880 is a wasteful number, since it uses less digits than its factorization.

42828880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535374 (or 535368 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 40.

The square root of 42828880 is about 6544.3777397091. The cubic root of 42828880 is about 349.8744583762.

The spelling of 42828880 in words is "forty-two million, eight hundred twenty-eight thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 535361 1070722 2141444 2676805 4282888 5353610 8565776 10707220 21414440 42828880