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412494137 = 11174746933
BaseRepresentation
bin11000100101100…
…010100100111001
31001202011212120122
4120211202210321
51321044303022
6104533103025
713136066546
oct3045424471
91052155518
10412494137
111a1929a50
12b6187a75
13675c7493
143cad7bcd
1526330742
hex18962939

412494137 has 16 divisors (see below), whose sum is σ = 486611712. Its totient is φ = 345419520.

The previous prime is 412494119. The next prime is 412494211. The reversal of 412494137 is 731494214.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 412494137 - 212 = 412490041 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 412494097 and 412494106.

It is not an unprimeable number, because it can be changed into a prime (412494437) 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 15 ways as a sum of consecutive naturals, for example, 14678 + ... + 32255.

It is an arithmetic number, because the mean of its divisors is an integer number (30413232).

Almost surely, 2412494137 is an apocalyptic number.

412494137 is a gapful number since it is divisible by the number (47) formed by its first and last digit.

It is an amenable number.

412494137 is a deficient number, since it is larger than the sum of its proper divisors (74117575).

412494137 is a wasteful number, since it uses less digits than its factorization.

412494137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47008.

The product of its digits is 24192, while the sum is 35.

The square root of 412494137 is about 20309.9516739947. The cubic root of 412494137 is about 744.3992496453.

The spelling of 412494137 in words is "four hundred twelve million, four hundred ninety-four thousand, one hundred thirty-seven".

Divisors: 1 11 17 47 187 517 799 8789 46933 516263 797861 2205851 8776471 24264361 37499467 412494137