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42416568 = 2333359547
BaseRepresentation
bin1010000111001…
…1100110111000
32221210222121000
42201303212320
541324312233
64113045000
71023351315
oct241634670
987728530
1042416568
1121a41217
1212256760
138a3177c
1458c1d0c
153accd13
hex28739b8

42416568 has 64 divisors (see below), whose sum is σ = 118368000. Its totient is φ = 14073696.

The previous prime is 42416557. The next prime is 42416573. The reversal of 42416568 is 86561424.

42416568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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, 77271 + ... + 77817.

It is an arithmetic number, because the mean of its divisors is an integer number (1849500).

Almost surely, 242416568 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 42416568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59184000).

42416568 is an abundant number, since it is smaller than the sum of its proper divisors (75951432).

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

42416568 is a wasteful number, since it uses less digits than its factorization.

42416568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 921 (or 911 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 42416568 is about 6512.8003193711. The cubic root of 42416568 is about 348.7480934108.

The spelling of 42416568 in words is "forty-two million, four hundred sixteen thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 359 547 718 1077 1094 1436 1641 2154 2188 2872 3231 3282 4308 4376 4923 6462 6564 8616 9693 9846 12924 13128 14769 19386 19692 25848 29538 38772 39384 59076 77544 118152 196373 392746 589119 785492 1178238 1570984 1767357 2356476 3534714 4712952 5302071 7069428 10604142 14138856 21208284 42416568