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42854000 = 245373061
BaseRepresentation
bin1010001101111…
…0011001110000
32222122012122012
42203132121300
541432312000
64130302052
71030152530
oct243363160
988565565
1042854000
112220a932
1212427928
138b558c7
1459974c0
153b67735
hex28de670

42854000 has 80 divisors (see below), whose sum is σ = 118462656. Its totient is φ = 14688000.

The previous prime is 42853999. The next prime is 42854023. The reversal of 42854000 is 45824.

42854000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 12470 + ... + 15530.

Almost surely, 242854000 is an apocalyptic number.

42854000 is a gapful number since it is divisible by the number (40) 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 42854000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59231328).

42854000 is an abundant number, since it is smaller than the sum of its proper divisors (75608656).

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

42854000 is a wasteful number, since it uses less digits than its factorization.

42854000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3091 (or 3075 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

The square root of 42854000 is about 6546.2966629996. The cubic root of 42854000 is about 349.9428478109.

Adding to 42854000 its reverse (45824), we get a palindrome (42899824).

The spelling of 42854000 in words is "forty-two million, eight hundred fifty-four thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 350 400 500 560 700 875 1000 1400 1750 2000 2800 3061 3500 6122 7000 12244 14000 15305 21427 24488 30610 42854 48976 61220 76525 85708 107135 122440 153050 171416 214270 244880 306100 342832 382625 428540 535675 612200 765250 857080 1071350 1224400 1530500 1714160 2142700 2678375 3061000 4285400 5356750 6122000 8570800 10713500 21427000 42854000