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42317652 = 22313614447
BaseRepresentation
bin1010000101101…
…1011101010100
32221121221220110
42201123131110
541313131102
64111003020
71022460036
oct241333524
987557813
1042317652
1121983973
1212209470
1389c8740
145897c56
153aad86c
hex285b754

42317652 has 48 divisors (see below), whose sum is σ = 108104192. Its totient is φ = 12804480.

The previous prime is 42317651. The next prime is 42317659. The reversal of 42317652 is 25671324.

42317652 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 (42317651) 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, 7293 + ... + 11739.

Almost surely, 242317652 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 42317652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54052096).

42317652 is an abundant number, since it is smaller than the sum of its proper divisors (65786540).

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

42317652 is a wasteful number, since it uses less digits than its factorization.

42317652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4528 (or 4526 counting only the distinct ones).

The product of its digits is 10080, while the sum is 30.

The square root of 42317652 is about 6505.2019184649. The cubic root of 42317652 is about 348.4767873428.

Adding to 42317652 its reverse (25671324), we get a palindrome (67988976).

The spelling of 42317652 in words is "forty-two million, three hundred seventeen thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 61 78 122 156 183 244 366 732 793 1586 2379 3172 4447 4758 8894 9516 13341 17788 26682 53364 57811 115622 173433 231244 271267 346866 542534 693732 813801 1085068 1627602 3255204 3526471 7052942 10579413 14105884 21158826 42317652