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42449264 = 24111318553
BaseRepresentation
bin1010000111101…
…1100101110000
32221212122102222
42201323211300
541331334024
64113500212
71023545534
oct241734560
987778388
1042449264
1121a63840
1212271668
138a43610
1458cdbc4
153ad785e
hex287b970

42449264 has 40 divisors (see below), whose sum is σ = 96629232. Its totient is φ = 17809920.

The previous prime is 42449233. The next prime is 42449279. The reversal of 42449264 is 46294424.

42449264 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 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 7 ways as a sum of consecutive naturals, for example, 6989 + ... + 11564.

Almost surely, 242449264 is an apocalyptic number.

42449264 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42449264 is an abundant number, since it is smaller than the sum of its proper divisors (54179968).

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

42449264 is a wasteful number, since it uses less digits than its factorization.

42449264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18585 (or 18579 counting only the distinct ones).

The product of its digits is 55296, while the sum is 35.

The square root of 42449264 is about 6515.3099696024. The cubic root of 42449264 is about 348.8376789950.

The spelling of 42449264 in words is "forty-two million, four hundred forty-nine thousand, two hundred sixty-four".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 104 143 176 208 286 572 1144 2288 18553 37106 74212 148424 204083 241189 296848 408166 482378 816332 964756 1632664 1929512 2653079 3265328 3859024 5306158 10612316 21224632 42449264