Search a number
-
+
405881064 = 23331879079
BaseRepresentation
bin11000001100010…
…100000011101000
31001021201220011000
4120030110003220
51312401143224
6104135235000
713025634501
oct3014240350
91037656130
10405881064
111991224a6
12b3b18a60
1366120414
143bc95ba8
15259760c9
hex183140e8

405881064 has 32 divisors (see below), whose sum is σ = 1127448000. Its totient is φ = 135293616.

The previous prime is 405881053. The next prime is 405881093. The reversal of 405881064 is 460188504.

405881064 is a `hidden beast` number, since 4 + 0 + 588 + 10 + 64 = 666.

It is a super-2 number, since 2×4058810642 = 329478876227544192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 939324 + ... + 939755.

It is an arithmetic number, because the mean of its divisors is an integer number (35232750).

Almost surely, 2405881064 is an apocalyptic number.

It is an amenable number.

405881064 is an abundant number, since it is smaller than the sum of its proper divisors (721566936).

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

405881064 is a wasteful number, since it uses less digits than its factorization.

405881064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1879094 (or 1879084 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 405881064 is about 20146.4901161468. The cubic root of 405881064 is about 740.3997499270.

The spelling of 405881064 in words is "four hundred five million, eight hundred eighty-one thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 1879079 3758158 5637237 7516316 11274474 15032632 16911711 22548948 33823422 45097896 50735133 67646844 101470266 135293688 202940532 405881064