Search a number
-
+
42982920 = 2333539799
BaseRepresentation
bin1010001111110…
…1111000001000
32222212202111000
42203331320020
542000423140
64133135000
71031230431
oct243757010
988782430
1042982920
1122298782
121248a460
138b9c4a6
1459cc488
153b90a30
hex28fde08

42982920 has 64 divisors (see below), whose sum is σ = 143280000. Its totient is φ = 11461824.

The previous prime is 42982913. The next prime is 42982943. The reversal of 42982920 is 2928924.

42982920 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 (36).

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, 18820 + ... + 20979.

It is an arithmetic number, because the mean of its divisors is an integer number (2238750).

Almost surely, 242982920 is an apocalyptic number.

42982920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42982920 is an abundant number, since it is smaller than the sum of its proper divisors (100297080).

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

42982920 is a wasteful number, since it uses less digits than its factorization.

42982920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39819 (or 39809 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 42982920 is about 6556.1360571605. The cubic root of 42982920 is about 350.2934138190.

The spelling of 42982920 in words is "forty-two million, nine hundred eighty-two thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 39799 79598 119397 159196 198995 238794 318392 358191 397990 477588 596985 716382 795980 955176 1074573 1193970 1432764 1591960 1790955 2149146 2387940 2865528 3581910 4298292 4775880 5372865 7163820 8596584 10745730 14327640 21491460 42982920