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42513396 = 22317271769
BaseRepresentation
bin1010001000101…
…1001111110100
32221222220102020
42202023033310
541340412041
64115113140
71024233522
oct242131764
987886366
1042513396
1121aa7a42
12122a27b0
138a66873
145909312
153aeb866
hex288b3f4

42513396 has 48 divisors (see below), whose sum is σ = 105557760. Its totient is φ = 13271040.

The previous prime is 42513349. The next prime is 42513397. The reversal of 42513396 is 69331524.

42513396 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42513397) 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 15 ways as a sum of consecutive naturals, for example, 54900 + ... + 55668.

It is an arithmetic number, because the mean of its divisors is an integer number (2199120).

Almost surely, 242513396 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 42513396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52778880).

42513396 is an abundant number, since it is smaller than the sum of its proper divisors (63044364).

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

42513396 is a wasteful number, since it uses less digits than its factorization.

42513396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1064 (or 1062 counting only the distinct ones).

The product of its digits is 19440, while the sum is 33.

The square root of 42513396 is about 6520.2297505533. The cubic root of 42513396 is about 349.0132643021.

The spelling of 42513396 in words is "forty-two million, five hundred thirteen thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 271 542 769 813 1084 1538 1626 2307 3076 3252 4607 4614 9214 9228 13073 13821 18428 26146 27642 39219 52292 55284 78438 156876 208399 416798 625197 833596 1250394 2500788 3542783 7085566 10628349 14171132 21256698 42513396