Search a number
-
+
406556145 = 3353011527
BaseRepresentation
bin11000001110111…
…000110111110001
31001100000012012000
4120032320313301
51313034244040
6104201524213
713034445612
oct3016706761
91040005160
10406556145
11199543716
12b41a3669
13662c8788
143bdcdc09
1525a5b130
hex183b8df1

406556145 has 16 divisors (see below), whose sum is σ = 722766720. Its totient is φ = 216829872.

The previous prime is 406556089. The next prime is 406556147. The reversal of 406556145 is 541655604.

It is not a de Polignac number, because 406556145 - 26 = 406556081 is a prime.

It is a super-2 number, since 2×4065561452 = 330575798074522050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (406556147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1505629 + ... + 1505898.

It is an arithmetic number, because the mean of its divisors is an integer number (45172920).

Almost surely, 2406556145 is an apocalyptic number.

406556145 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

406556145 is a deficient number, since it is larger than the sum of its proper divisors (316210575).

406556145 is a wasteful number, since it uses less digits than its factorization.

406556145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3011541 (or 3011535 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 406556145 is about 20163.2374632647. The cubic root of 406556145 is about 740.8100121031.

The spelling of 406556145 in words is "four hundred six million, five hundred fifty-six thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 27 45 135 3011527 9034581 15057635 27103743 45172905 81311229 135518715 406556145