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412066242 = 232712832549
BaseRepresentation
bin11000100011111…
…010000111000010
31001201101010121200
4120203322013002
51320442104432
6104520002030
713132335210
oct3043720702
91051333550
10412066242
111a1667515
12b6000316
13674a77a3
143ca25cb0
1526298a7c
hex188fa1c2

412066242 has 48 divisors (see below), whose sum is σ = 1021550400. Its totient is φ = 117595296.

The previous prime is 412066241. The next prime is 412066267. The reversal of 412066242 is 242660214.

412066242 is a `hidden beast` number, since 412 + 0 + 6 + 6 + 242 = 666.

It is not an unprimeable number, because it can be changed into a prime (412066241) 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 23 ways as a sum of consecutive naturals, for example, 160384 + ... + 162932.

It is an arithmetic number, because the mean of its divisors is an integer number (21282300).

Almost surely, 2412066242 is an apocalyptic number.

412066242 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

412066242 is an abundant number, since it is smaller than the sum of its proper divisors (609484158).

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

412066242 is a wasteful number, since it uses less digits than its factorization.

412066242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3847 (or 3844 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 412066242 is about 20299.4148191518. The cubic root of 412066242 is about 744.1417632223.

The spelling of 412066242 in words is "four hundred twelve million, sixty-six thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 1283 2549 2566 3849 5098 7647 7698 8981 11547 15294 17843 17962 22941 23094 26943 35686 45882 53529 53886 80829 107058 160587 161658 321174 3270367 6540734 9811101 19622202 22892569 29433303 45785138 58866606 68677707 137355414 206033121 412066242