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42086496 = 253438401
BaseRepresentation
bin1010000010001…
…1000001100000
32221012012211010
42200203001200
541233231441
64102020520
71020505104
oct240430140
987165733
1042086496
1121836231
1212117740
13894746a
145837904
153a65116
hex2823060

42086496 has 24 divisors (see below), whose sum is σ = 110477304. Its totient is φ = 14028800.

The previous prime is 42086477. The next prime is 42086497. The reversal of 42086496 is 69468024.

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42086497) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 219105 + ... + 219296.

It is an arithmetic number, because the mean of its divisors is an integer number (4603221).

Almost surely, 242086496 is an apocalyptic number.

It is an amenable number.

42086496 is an abundant number, since it is smaller than the sum of its proper divisors (68390808).

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

42086496 is a wasteful number, since it uses less digits than its factorization.

42086496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438414 (or 438406 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 42086496 is about 6487.4105774184. The cubic root of 42086496 is about 347.8411218211.

The spelling of 42086496 in words is "forty-two million, eighty-six thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 438401 876802 1315203 1753604 2630406 3507208 5260812 7014416 10521624 14028832 21043248 42086496