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406906452 = 223211302957
BaseRepresentation
bin11000010000001…
…110011001010100
31001100122222201100
4120100032121110
51313132001302
6104213230100
713040435121
oct3020163124
91040588640
10406906452
11199762927
12b4332330
13663bc064
143c081748
1525ac9d1c
hex1840e654

406906452 has 18 divisors (see below), whose sum is σ = 1028569178. Its totient is φ = 135635472.

The previous prime is 406906447. The next prime is 406906471. The reversal of 406906452 is 254609604.

406906452 is a `hidden beast` number, since 4 + 0 + 6 + 9 + 0 + 645 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 393466896 + 13439556 = 19836^2 + 3666^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 11302957 = 406906452 / (4 + 0 + 6 + 9 + 0 + 6 + 4 + 5 + 2).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5651443 + ... + 5651514.

Almost surely, 2406906452 is an apocalyptic number.

It is an amenable number.

406906452 is an abundant number, since it is smaller than the sum of its proper divisors (621662726).

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

406906452 is a wasteful number, since it uses less digits than its factorization.

406906452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11302967 (or 11302962 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 406906452 is about 20171.9223674889. The cubic root of 406906452 is about 741.0227227265.

The spelling of 406906452 in words is "four hundred six million, nine hundred six thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 11302957 22605914 33908871 45211828 67817742 101726613 135635484 203453226 406906452