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42408808 = 231337103107
BaseRepresentation
bin1010000111000…
…1101101101000
32221210120221121
42201301231220
541324040213
64112545024
71023316561
oct241615550
987716847
1042408808
1121a36402
1212252174
138a2b090
1458bd168
153aca88d
hex2871b68

42408808 has 64 divisors (see below), whose sum is σ = 89631360. Its totient is φ = 18683136.

The previous prime is 42408791. The next prime is 42408809. The reversal of 42408808 is 80880424.

It is not an unprimeable number, because it can be changed into a prime (42408809) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 396291 + ... + 396397.

It is an arithmetic number, because the mean of its divisors is an integer number (1400490).

Almost surely, 242408808 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 42408808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44815680).

42408808 is an abundant number, since it is smaller than the sum of its proper divisors (47222552).

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

42408808 is a wasteful number, since it uses less digits than its factorization.

42408808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 34.

The square root of 42408808 is about 6512.2045422422. The cubic root of 42408808 is about 348.7268245970.

The spelling of 42408808 in words is "forty-two million, four hundred eight thousand, eight hundred eight".

Divisors: 1 2 4 8 13 26 37 52 74 103 104 107 148 206 214 296 412 428 481 824 856 962 1339 1391 1924 2678 2782 3811 3848 3959 5356 5564 7622 7918 10712 11021 11128 15244 15836 22042 30488 31672 44084 49543 51467 88168 99086 102934 143273 198172 205868 286546 396344 407777 411736 573092 815554 1146184 1631108 3262216 5301101 10602202 21204404 42408808