Search a number
-
+
42255440 = 2451274159
BaseRepresentation
bin1010000100110…
…0010001010000
32221111210120022
42201030101100
541304133230
64105403012
71022110463
oct241142120
987453508
1042255440
1121941157
1212199468
1389a6326
14587d2da
153a9a1e5
hex284c450

42255440 has 40 divisors (see below), whose sum is σ = 99041280. Its totient is φ = 16765056.

The previous prime is 42255427. The next prime is 42255463. The reversal of 42255440 is 4455224.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8081 + ... + 12239.

It is an arithmetic number, because the mean of its divisors is an integer number (2476032).

Almost surely, 242255440 is an apocalyptic number.

42255440 is a gapful number since it is divisible by the number (40) 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 42255440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49520640).

42255440 is an abundant number, since it is smaller than the sum of its proper divisors (56785840).

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

42255440 is a wasteful number, since it uses less digits than its factorization.

42255440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4299 (or 4293 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 26.

The square root of 42255440 is about 6500.4184480693. The cubic root of 42255440 is about 348.3059360996.

The spelling of 42255440 in words is "forty-two million, two hundred fifty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 127 254 508 635 1016 1270 2032 2540 4159 5080 8318 10160 16636 20795 33272 41590 66544 83180 166360 332720 528193 1056386 2112772 2640965 4225544 5281930 8451088 10563860 21127720 42255440