Search a number
-
+
42577992 = 23327692
BaseRepresentation
bin1010001001101…
…1000001001000
32222010012000200
42202123001020
541344443432
64120332200
71024623042
oct242330110
988105020
1042577992
1122041526
1212314060
138a8a0a2
145924a92
153b10a7c
hex289b048

42577992 has 36 divisors (see below), whose sum is σ = 115465545. Its totient is φ = 14174208.

The previous prime is 42577981. The next prime is 42578017. The reversal of 42577992 is 29977524.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 42068196 + 509796 = 6486^2 + 714^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=4614.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 54984 + ... + 55752.

Almost surely, 242577992 is an apocalyptic number.

It is an amenable number.

42577992 is an abundant number, since it is smaller than the sum of its proper divisors (72887553).

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

42577992 is an equidigital number, since it uses as much as digits as its factorization.

42577992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1550 (or 774 counting only the distinct ones).

The product of its digits is 317520, while the sum is 45.

The square root of 42577992 is about 6525.1813767895. The cubic root of 42577992 is about 349.1899415705.

The spelling of 42577992 in words is "forty-two million, five hundred seventy-seven thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 769 1538 2307 3076 4614 6152 6921 9228 13842 18456 27684 55368 591361 1182722 1774083 2365444 3548166 4730888 5322249 7096332 10644498 14192664 21288996 42577992