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411242112 = 2732356981
BaseRepresentation
bin11000100000110…
…000111010000000
31001122211021010100
4120200300322000
51320234221422
6104450202400
713122333411
oct3040607200
91048737110
10411242112
111a1154316
12b5883400
1367279638
143c88d808
15261847ac
hex18830e80

411242112 has 48 divisors (see below), whose sum is σ = 1183395330. Its totient is φ = 137080320.

The previous prime is 411242107. The next prime is 411242113. The reversal of 411242112 is 211242114.

411242112 is a `hidden beast` number, since 411 + 242 + 1 + 12 = 666.

It can be written as a sum of positive squares in only one way, i.e., 369562176 + 41679936 = 19224^2 + 6456^2 .

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (411242113) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 177339 + ... + 179642.

Almost surely, 2411242112 is an apocalyptic number.

It is an amenable number.

411242112 is an abundant number, since it is smaller than the sum of its proper divisors (772153218).

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

411242112 is a wasteful number, since it uses less digits than its factorization.

411242112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357001 (or 356986 counting only the distinct ones).

The product of its digits is 128, while the sum is 18.

The square root of 411242112 is about 20279.1053057081. The cubic root of 411242112 is about 743.6453391131.

Adding to 411242112 its reverse (211242114), we get a palindrome (622484226).

The spelling of 411242112 in words is "four hundred eleven million, two hundred forty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 356981 713962 1070943 1427924 2141886 2855848 3212829 4283772 5711696 6425658 8567544 11423392 12851316 17135088 22846784 25702632 34270176 45693568 51405264 68540352 102810528 137080704 205621056 411242112