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42380388 = 22331741563
BaseRepresentation
bin1010000110101…
…0110001100100
32221202010222000
42201222301210
541322133023
64112205300
71023140661
oct241526144
987663860
1042380388
1121a17016
1212239830
138a1b16b
1458b2a68
153ac2243
hex286ac64

42380388 has 96 divisors (see below), whose sum is σ = 119387520. Its totient is φ = 12948480.

The previous prime is 42380363. The next prime is 42380411. The reversal of 42380388 is 88308324.

It is a happy number.

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 (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74995 + ... + 75557.

It is an arithmetic number, because the mean of its divisors is an integer number (1243620).

Almost surely, 242380388 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 42380388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59693760).

42380388 is an abundant number, since it is smaller than the sum of its proper divisors (77007132).

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

42380388 is a wasteful number, since it uses less digits than its factorization.

42380388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 42380388 is about 6510.0221197781. The cubic root of 42380388 is about 348.6489081488.

The spelling of 42380388 in words is "forty-two million, three hundred eighty thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 41 51 54 68 82 102 108 123 153 164 204 246 306 369 459 492 563 612 697 738 918 1107 1126 1394 1476 1689 1836 2091 2214 2252 2788 3378 4182 4428 5067 6273 6756 8364 9571 10134 12546 15201 18819 19142 20268 23083 25092 28713 30402 37638 38284 46166 57426 60804 69249 75276 86139 92332 114852 138498 172278 207747 258417 276996 344556 392411 415494 516834 623241 784822 830988 1033668 1177233 1246482 1569644 2354466 2492964 3531699 4708932 7063398 10595097 14126796 21190194 42380388