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42071436 = 223211131811
BaseRepresentation
bin1010000001111…
…1010110001100
32221011110011100
42200133112030
541232241221
64101423100
71020413151
oct240372614
987143140
1042071436
1121825990
121210aa90
138940654
145832228
153a60926
hex281f58c

42071436 has 72 divisors (see below), whose sum is σ = 117044928. Its totient is φ = 12636000.

The previous prime is 42071399. The next prime is 42071461. The reversal of 42071436 is 63417024.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51471 + ... + 52281.

It is an arithmetic number, because the mean of its divisors is an integer number (1625624).

Almost surely, 242071436 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 42071436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58522464).

42071436 is an abundant number, since it is smaller than the sum of its proper divisors (74973492).

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

42071436 is a wasteful number, since it uses less digits than its factorization.

42071436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 963 (or 958 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 42071436 is about 6486.2497639237. The cubic root of 42071436 is about 347.7996270207.

The spelling of 42071436 in words is "forty-two million, seventy-one thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 131 132 198 262 393 396 524 786 811 1179 1441 1572 1622 2358 2433 2882 3244 4323 4716 4866 5764 7299 8646 8921 9732 12969 14598 17292 17842 25938 26763 29196 35684 51876 53526 80289 106241 107052 160578 212482 318723 321156 424964 637446 956169 1168651 1274892 1912338 2337302 3505953 3824676 4674604 7011906 10517859 14023812 21035718 42071436