Search a number
-
+
427861957 = 10111337489
BaseRepresentation
bin11001100000001…
…010011111000101
31002211002122021011
4121200022133011
51334013040312
6110242322221
713413523645
oct3140123705
91084078234
10427861957
111aa576026
12bb359371
136a848373
1440b78525
1527868da7
hex1980a7c5

427861957 has 8 divisors (see below), whose sum is σ = 435933720. Its totient is φ = 419865600.

The previous prime is 427861927. The next prime is 427861981. The reversal of 427861957 is 759168724.

It can be written as a sum of positive squares in 4 ways, for example, as 145588356 + 282273601 = 12066^2 + 16801^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 427861957 - 211 = 427859909 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 427861957.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427861927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7332 + ... + 30157.

It is an arithmetic number, because the mean of its divisors is an integer number (54491715).

Almost surely, 2427861957 is an apocalyptic number.

It is an amenable number.

427861957 is a deficient number, since it is larger than the sum of its proper divisors (8071763).

427861957 is a wasteful number, since it uses less digits than its factorization.

427861957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37703.

The product of its digits is 846720, while the sum is 49.

The square root of 427861957 is about 20684.8243163920. The cubic root of 427861957 is about 753.5311746851.

The spelling of 427861957 in words is "four hundred twenty-seven million, eight hundred sixty-one thousand, nine hundred fifty-seven".

Divisors: 1 101 113 11413 37489 3786389 4236257 427861957