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412102242 = 236535333
BaseRepresentation
bin11000100100000…
…010111001100010
31001201102222000000
4120210002321202
51320444232432
6104520440430
713132545156
oct3044027142
91051388000
10412102242
111a1691572
12b6019116
13674baca6
143ca35066
15262a457c
hex18902e62

412102242 has 56 divisors (see below), whose sum is σ = 944470044. Its totient is φ = 134750304.

The previous prime is 412102241. The next prime is 412102283. The reversal of 412102242 is 242201214.

412102242 is a `hidden beast` number, since 412 + 10 + 2 + 242 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 324324081 + 87778161 = 18009^2 + 9369^2 .

It is a super-2 number, since 2×4121022422 = 339656515722853128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (412102241) by changing a digit.

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 27 ways as a sum of consecutive naturals, for example, 74608 + ... + 79940.

Almost surely, 2412102242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412102242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472235022).

412102242 is an abundant number, since it is smaller than the sum of its proper divisors (532367802).

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

412102242 is an equidigital number, since it uses as much as digits as its factorization.

412102242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5406 (or 5391 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 412102242 is about 20300.3015248543. The cubic root of 412102242 is about 744.1634331390.

Adding to 412102242 its reverse (242201214), we get a palindrome (654303456).

The spelling of 412102242 in words is "four hundred twelve million, one hundred two thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 27 53 54 81 106 159 162 243 318 477 486 729 954 1431 1458 2862 4293 5333 8586 10666 12879 15999 25758 31998 38637 47997 77274 95994 143991 282649 287982 431973 565298 847947 863946 1295919 1695894 2543841 2591838 3887757 5087682 7631523 7775514 15263046 22894569 45789138 68683707 137367414 206051121 412102242