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42000030 = 23251797283
BaseRepresentation
bin1010000000110…
…1111010011110
32221000211012200
42200031322132
541223000110
64100112330
71016665032
oct240157236
987024180
1042000030
1121787276
12120956a6
138916cb7
1458141c2
153a496c0
hex280de9e

42000030 has 96 divisors (see below), whose sum is σ = 117228384. Its totient is φ = 10395648.

The previous prime is 42000029. The next prime is 42000037. The reversal of 42000030 is 3000024.

42000030 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 (9).

It is a junction number, because it is equal to n+sod(n) for n = 41999976 and 42000021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42000037) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 148269 + ... + 148551.

It is an arithmetic number, because the mean of its divisors is an integer number (1221129).

Almost surely, 242000030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42000030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58614192).

42000030 is an abundant number, since it is smaller than the sum of its proper divisors (75228354).

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

42000030 is a wasteful number, since it uses less digits than its factorization.

42000030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 42000030 is about 6480.7430129577. The cubic root of 42000030 is about 347.6027472512.

Adding to 42000030 its reverse (3000024), we get a palindrome (45000054).

The spelling of 42000030 in words is "forty-two million, thirty", and thus it is an aban number, an eban number, and an uban number.

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 97 102 153 170 194 255 283 291 306 485 510 566 582 765 849 873 970 1415 1455 1530 1649 1698 1746 2547 2830 2910 3298 4245 4365 4811 4947 5094 8245 8490 8730 9622 9894 12735 14433 14841 16490 24055 24735 25470 27451 28866 29682 43299 48110 49470 54902 72165 74205 82353 86598 137255 144330 148410 164706 216495 247059 274510 411765 432990 466667 494118 823530 933334 1235295 1400001 2333335 2470590 2800002 4200003 4666670 7000005 8400006 14000010 21000015 42000030