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42982830 = 23251123947
BaseRepresentation
bin1010001111110…
…1110110101110
32222212202100200
42203331312232
542000422310
64133134330
71031230242
oct243756656
988782320
1042982830
1122298700
121248a3a6
138b9c437
1459cc422
153b909c0
hex28fddae

42982830 has 72 divisors (see below), whose sum is σ = 122869656. Its totient is φ = 10417440.

The previous prime is 42982813. The next prime is 42982853. The reversal of 42982830 is 3828924.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 8917 + ... + 12863.

It is an arithmetic number, because the mean of its divisors is an integer number (1706523).

Almost surely, 242982830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42982830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61434828).

42982830 is an abundant number, since it is smaller than the sum of its proper divisors (79886826).

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

42982830 is a wasteful number, since it uses less digits than its factorization.

42982830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3982 (or 3968 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 42982830 is about 6556.1291933579. The cubic root of 42982830 is about 350.2931693310.

The spelling of 42982830 in words is "forty-two million, nine hundred eighty-two thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 121 165 198 242 330 363 495 605 726 990 1089 1210 1815 2178 3630 3947 5445 7894 10890 11841 19735 23682 35523 39470 43417 59205 71046 86834 118410 130251 177615 217085 260502 355230 390753 434170 477587 651255 781506 955174 1302510 1432761 1953765 2387935 2865522 3907530 4298283 4775870 7163805 8596566 14327610 21491415 42982830