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406073033 = 1721405097
BaseRepresentation
bin11000001101000…
…010111011001001
31001022002122110222
4120031002323021
51312423314113
6104143315425
713030364252
oct3015027311
91038078428
10406073033
11199243753
12b3babb75
1366189902
143bd05b29
15259b2e08
hex18342ec9

406073033 has 6 divisors (see below), whose sum is σ = 431365086. Its totient is φ = 382186112.

The previous prime is 406073023. The next prime is 406073053. The reversal of 406073033 is 330370604.

It can be written as a sum of positive squares in 3 ways, for example, as 258984649 + 147088384 = 16093^2 + 12128^2 .

It is not a de Polignac number, because 406073033 - 26 = 406072969 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 406072993 and 406073011.

It is not an unprimeable number, because it can be changed into a prime (406073023) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 702260 + ... + 702837.

It is an arithmetic number, because the mean of its divisors is an integer number (71894181).

Almost surely, 2406073033 is an apocalyptic number.

It is an amenable number.

406073033 is a deficient number, since it is larger than the sum of its proper divisors (25292053).

406073033 is a wasteful number, since it uses less digits than its factorization.

406073033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1405131 (or 1405114 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 26.

The square root of 406073033 is about 20151.2538815827. The cubic root of 406073033 is about 740.5164601408.

The spelling of 406073033 in words is "four hundred six million, seventy-three thousand, thirty-three".

Divisors: 1 17 289 1405097 23886649 406073033