Search a number
-
+
405264645 = 3259005881
BaseRepresentation
bin11000001001111…
…101100100000101
31001020120120120200
4120021331210011
51312221432040
6104114121113
713020456402
oct3011754405
91036516520
10405264645
11198841365
12b3880199
1365c65986
143bb752a9
15258a3630
hex1827d905

405264645 has 12 divisors (see below), whose sum is σ = 702458796. Its totient is φ = 216141120.

The previous prime is 405264631. The next prime is 405264667. The reversal of 405264645 is 546462504.

405264645 is a `hidden beast` number, since 4 + 0 + 5 + 2 + 6 + 4 + 645 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 208311489 + 196953156 = 14433^2 + 14034^2 .

It is not a de Polignac number, because 405264645 - 28 = 405264389 is a prime.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 4502896 + ... + 4502985.

It is an arithmetic number, because the mean of its divisors is an integer number (58538233).

Almost surely, 2405264645 is an apocalyptic number.

405264645 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

405264645 is a deficient number, since it is larger than the sum of its proper divisors (297194151).

405264645 is a wasteful number, since it uses less digits than its factorization.

405264645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9005892 (or 9005889 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 405264645 is about 20131.1858816116. The cubic root of 405264645 is about 740.0247404682.

The spelling of 405264645 in words is "four hundred five million, two hundred sixty-four thousand, six hundred forty-five".

Divisors: 1 3 5 9 15 45 9005881 27017643 45029405 81052929 135088215 405264645