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42702900 = 223521371039
BaseRepresentation
bin1010001011100…
…1100000110100
32222100112100220
42202321200310
541412443100
64123134340
71025653152
oct242714064
988315326
1042702900
1122117359
12123743b0
138b01bb6
1459583d2
153b37aa0
hex28b9834

42702900 has 72 divisors (see below), whose sum is σ = 124575360. Its totient is φ = 11293440.

The previous prime is 42702889. The next prime is 42702917. The reversal of 42702900 is 920724.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40581 + ... + 41619.

Almost surely, 242702900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42702900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62287680).

42702900 is an abundant number, since it is smaller than the sum of its proper divisors (81872460).

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

42702900 is a wasteful number, since it uses less digits than its factorization.

42702900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1193 (or 1186 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 42702900 is about 6534.7455956602. The cubic root of 42702900 is about 349.5310726957.

The spelling of 42702900 in words is "forty-two million, seven hundred two thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 137 150 274 300 411 548 685 822 1039 1370 1644 2055 2078 2740 3117 3425 4110 4156 5195 6234 6850 8220 10275 10390 12468 13700 15585 20550 20780 25975 31170 41100 51950 62340 77925 103900 142343 155850 284686 311700 427029 569372 711715 854058 1423430 1708116 2135145 2846860 3558575 4270290 7117150 8540580 10675725 14234300 21351450 42702900