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42513354 = 23213971873
BaseRepresentation
bin1010001000101…
…1001111001010
32221222220100200
42202023033022
541340411404
64115113030
71024233432
oct242131712
987886320
1042513354
1121aa7a04
12122a2776
138a66840
1459092c2
153aeb839
hex288b3ca

42513354 has 48 divisors (see below), whose sum is σ = 100273992. Its totient is φ = 12939264.

The previous prime is 42513349. The next prime is 42513397. The reversal of 42513354 is 45331524.

It can be written as a sum of positive squares in 4 ways, for example, as 15421329 + 27092025 = 3927^2 + 5205^2 .

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, 21762 + ... + 23634.

Almost surely, 242513354 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42513354, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50136996).

42513354 is an abundant number, since it is smaller than the sum of its proper divisors (57760638).

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

42513354 is a wasteful number, since it uses less digits than its factorization.

42513354 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1991 (or 1988 counting only the distinct ones).

The product of its digits is 7200, while the sum is 27.

The square root of 42513354 is about 6520.2265298071. The cubic root of 42513354 is about 349.0131493692.

Adding to 42513354 its reverse (45331524), we get a palindrome (87844878).

The spelling of 42513354 in words is "forty-two million, five hundred thirteen thousand, three hundred fifty-four".

Divisors: 1 2 3 6 9 13 18 26 39 78 97 117 194 234 291 582 873 1261 1746 1873 2522 3746 3783 5619 7566 11238 11349 16857 22698 24349 33714 48698 73047 146094 181681 219141 363362 438282 545043 1090086 1635129 2361853 3270258 4723706 7085559 14171118 21256677 42513354