Search a number
-
+
42426960 = 2435176779
BaseRepresentation
bin1010000111011…
…0001001010000
32221211111211220
42201312021100
541330130320
64113205040
71023423522
oct241661120
987744756
1042426960
1121a49004
1212260780
138a36414
1458c5a12
153ad0e40
hex2876250

42426960 has 40 divisors (see below), whose sum is σ = 131524320. Its totient is φ = 11313792.

The previous prime is 42426929. The next prime is 42426991. The reversal of 42426960 is 6962424.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (42426929) and next prime (42426991).

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, 88150 + ... + 88629.

It is an arithmetic number, because the mean of its divisors is an integer number (3288108).

Almost surely, 242426960 is an apocalyptic number.

42426960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42426960 is an abundant number, since it is smaller than the sum of its proper divisors (89097360).

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

42426960 is a wasteful number, since it uses less digits than its factorization.

42426960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176795 (or 176789 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 42426960 is about 6513.5980840086. The cubic root of 42426960 is about 348.7765720173.

The spelling of 42426960 in words is "forty-two million, four hundred twenty-six thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 176779 353558 530337 707116 883895 1060674 1414232 1767790 2121348 2651685 2828464 3535580 4242696 5303370 7071160 8485392 10606740 14142320 21213480 42426960