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42413592 = 23313210457
BaseRepresentation
bin1010000111001…
…0111000011000
32221210211111210
42201302320120
541324213332
64113023120
71023336534
oct241627030
987724453
1042413592
1121a39a61
1212254aa0
138a30300
1458c0bc4
153acbecc
hex2872e18

42413592 has 48 divisors (see below), whose sum is σ = 114828840. Its totient is φ = 13049088.

The previous prime is 42413563. The next prime is 42413593. The reversal of 42413592 is 29531424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42413593) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1173 + ... + 9284.

Almost surely, 242413592 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 42413592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57414420).

42413592 is an abundant number, since it is smaller than the sum of its proper divisors (72415248).

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

42413592 is a wasteful number, since it uses less digits than its factorization.

42413592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10492 (or 10475 counting only the distinct ones).

The product of its digits is 8640, while the sum is 30.

The square root of 42413592 is about 6512.5718422141. The cubic root of 42413592 is about 348.7399370177.

The spelling of 42413592 in words is "forty-two million, four hundred thirteen thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 169 312 338 507 676 1014 1352 2028 4056 10457 20914 31371 41828 62742 83656 125484 135941 250968 271882 407823 543764 815646 1087528 1631292 1767233 3262584 3534466 5301699 7068932 10603398 14137864 21206796 42413592