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42392280 = 23357109463
BaseRepresentation
bin1010000110110…
…1101011011000
32221202202021110
42201231223120
541323023110
64112340320
71023220440
oct241555330
987682243
1042392280
1121a24a47
12122446a0
138a236b8
1458b7120
153ac5a20
hex286dad8

42392280 has 128 divisors (see below), whose sum is σ = 146995200. Its totient is φ = 9580032.

The previous prime is 42392279. The next prime is 42392327. The reversal of 42392280 is 8229324.

42392280 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 (30).

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 31 ways as a sum of consecutive naturals, for example, 91329 + ... + 91791.

It is an arithmetic number, because the mean of its divisors is an integer number (1148400).

Almost surely, 242392280 is an apocalyptic number.

42392280 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 42392280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73497600).

42392280 is an abundant number, since it is smaller than the sum of its proper divisors (104602920).

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

42392280 is a wasteful number, since it uses less digits than its factorization.

42392280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 42392280 is about 6510.9354166663. The cubic root of 42392280 is about 348.6815155668.

The spelling of 42392280 in words is "forty-two million, three hundred ninety-two thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 109 120 140 168 210 218 280 327 420 436 463 545 654 763 840 872 926 1090 1308 1389 1526 1635 1852 2180 2289 2315 2616 2778 3052 3241 3270 3704 3815 4360 4578 4630 5556 6104 6482 6540 6945 7630 9156 9260 9723 11112 11445 12964 13080 13890 15260 16205 18312 18520 19446 22890 25928 27780 30520 32410 38892 45780 48615 50467 55560 64820 77784 91560 97230 100934 129640 151401 194460 201868 252335 302802 353269 388920 403736 504670 605604 706538 757005 1009340 1059807 1211208 1413076 1514010 1766345 2018680 2119614 2826152 3028020 3532690 4239228 5299035 6056040 7065380 8478456 10598070 14130760 21196140 42392280