Search a number
-
+
426381201 = 3268832
BaseRepresentation
bin11001011010100…
…000111110010001
31002201022102001100
4121122200332101
51333123144301
6110150455013
713365115611
oct3132407621
91081272040
10426381201
111a9754564
12ba964469
136a44a38c
14408b0a41
1527675286
hex196a0f91

426381201 has 9 divisors (see below), whose sum is σ = 615973449. Its totient is φ = 284212836.

The previous prime is 426381173. The next prime is 426381203. The reversal of 426381201 is 102183624.

The square root of 426381201 is 20649.

It is a perfect power (a square), and thus also a powerful number.

426381201 is a `hidden beast` number, since 4 + 2 + 638 + 1 + 20 + 1 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 426381201 - 27 = 426381073 is a prime.

It is not an unprimeable number, because it can be changed into a prime (426381203) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 58506 + ... + 65388.

Almost surely, 2426381201 is an apocalyptic number.

426381201 is the 20649-th square number.

426381201 is the 10325-th centered octagonal number.

It is an amenable number.

426381201 is a deficient number, since it is larger than the sum of its proper divisors (189592248).

426381201 is an frugal number, since it uses more digits than its factorization.

426381201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13772 (or 6886 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The cubic root of 426381201 is about 752.6608897234.

Multiplying 426381201 by its product of nonzero digits (2304), we get a square (982382287104 = 9911522).

The spelling of 426381201 in words is "four hundred twenty-six million, three hundred eighty-one thousand, two hundred one".

Divisors: 1 3 9 6883 20649 61947 47375689 142127067 426381201