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42798030 = 23511532447
BaseRepresentation
bin1010001101000…
…0101111001110
32222112100212020
42203100233032
541424014110
64125151010
71026530412
oct243205716
988470766
1042798030
1122181880
12123bb466
138b362a2
145980d42
153b55d70
hex28d0bce

42798030 has 64 divisors (see below), whose sum is σ = 114213888. Its totient is φ = 10175360.

The previous prime is 42798023. The next prime is 42798071. The reversal of 42798030 is 3089724.

42798030 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 42797982 and 42798000.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 16267 + ... + 18713.

It is an arithmetic number, because the mean of its divisors is an integer number (1784592).

Almost surely, 242798030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42798030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57106944).

42798030 is an abundant number, since it is smaller than the sum of its proper divisors (71415858).

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

42798030 is a wasteful number, since it uses less digits than its factorization.

42798030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2521.

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 42798030 is about 6542.0203301427. The cubic root of 42798030 is about 349.7904323665.

The spelling of 42798030 in words is "forty-two million, seven hundred ninety-eight thousand, thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 53 55 66 106 110 159 165 265 318 330 530 583 795 1166 1590 1749 2447 2915 3498 4894 5830 7341 8745 12235 14682 17490 24470 26917 36705 53834 73410 80751 129691 134585 161502 259382 269170 389073 403755 648455 778146 807510 1296910 1426601 1945365 2853202 3890730 4279803 7133005 8559606 14266010 21399015 42798030