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42794430 = 2357297027
BaseRepresentation
bin1010001100111…
…1110110111110
32222112011220220
42203033312332
541423410210
64125122210
71026514050
oct243176676
988464826
1042794430
112217a0a8
12123b9366
138b34763
14597d8d0
153b54c70
hex28cfdbe

42794430 has 64 divisors (see below), whose sum is σ = 121443840. Its totient is φ = 9442944.

The previous prime is 42794413. The next prime is 42794431. The reversal of 42794430 is 3449724.

It is a junction number, because it is equal to n+sod(n) for n = 42794391 and 42794400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42794431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2577 + ... + 9603.

It is an arithmetic number, because the mean of its divisors is an integer number (1897560).

Almost surely, 242794430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42794430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60721920).

42794430 is an abundant number, since it is smaller than the sum of its proper divisors (78649410).

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

42794430 is a wasteful number, since it uses less digits than its factorization.

42794430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7073.

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 42794430 is about 6541.7451799959. The cubic root of 42794430 is about 349.7806244317.

The spelling of 42794430 in words is "forty-two million, seven hundred ninety-four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 29 30 35 42 58 70 87 105 145 174 203 210 290 406 435 609 870 1015 1218 2030 3045 6090 7027 14054 21081 35135 42162 49189 70270 98378 105405 147567 203783 210810 245945 295134 407566 491890 611349 737835 1018915 1222698 1426481 1475670 2037830 2852962 3056745 4279443 6113490 7132405 8558886 14264810 21397215 42794430