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42251808 = 253676569
BaseRepresentation
bin1010000100101…
…1011000100000
32221111121120210
42201023120200
541304024213
64105334120
71022064054
oct241133040
987447523
1042251808
1121939455
1212197340
1389a4791
14587bc64
153a990c3
hex284b620

42251808 has 48 divisors (see below), whose sum is σ = 112583520. Its totient is φ = 13871616.

The previous prime is 42251789. The next prime is 42251809. The reversal of 42251808 is 80815224.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (42251809) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3148 + ... + 9716.

It is an arithmetic number, because the mean of its divisors is an integer number (2345490).

Almost surely, 242251808 is an apocalyptic number.

42251808 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42251808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56291760).

42251808 is an abundant number, since it is smaller than the sum of its proper divisors (70331712).

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

42251808 is a wasteful number, since it uses less digits than its factorization.

42251808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6649 (or 6641 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 42251808 is about 6500.1390754352. The cubic root of 42251808 is about 348.2959564503.

The spelling of 42251808 in words is "forty-two million, two hundred fifty-one thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 67 96 134 201 268 402 536 804 1072 1608 2144 3216 6432 6569 13138 19707 26276 39414 52552 78828 105104 157656 210208 315312 440123 630624 880246 1320369 1760492 2640738 3520984 5281476 7041968 10562952 14083936 21125904 42251808