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3582420112 = 242914951817
BaseRepresentation
bin1101010110000111…
…0110010010010000
3100020122221210112101
43111201312102100
524314044420422
61351251410144
7154530032335
oct32541662220
910218853471
103582420112
111579201287
1283b8b3954
1345126641b
1425dad498c
1515e78cc27
hexd5876490

3582420112 has 40 divisors (see below), whose sum is σ = 7228611000. Its totient is φ = 1717804032.

The previous prime is 3582420097. The next prime is 3582420133. The reversal of 3582420112 is 2110242853.

It can be written as a sum of positive squares in 4 ways, for example, as 51208336 + 3531211776 = 7156^2 + 59424^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43228 + ... + 95044.

It is an arithmetic number, because the mean of its divisors is an integer number (180715275).

Almost surely, 23582420112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3582420112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3614305500).

3582420112 is an abundant number, since it is smaller than the sum of its proper divisors (3646190888).

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

3582420112 is a wasteful number, since it uses less digits than its factorization.

3582420112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52003 (or 51997 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 3582420112 is about 59853.3216455027. The cubic root of 3582420112 is about 1530.1200458302.

Adding to 3582420112 its reverse (2110242853), we get a palindrome (5692662965).

The spelling of 3582420112 in words is "three billion, five hundred eighty-two million, four hundred twenty thousand, one hundred twelve".

Divisors: 1 2 4 8 16 29 58 116 149 232 298 464 596 1192 2384 4321 8642 17284 34568 51817 69136 103634 207268 414536 829072 1502693 3005386 6010772 7720733 12021544 15441466 24043088 30882932 61765864 123531728 223901257 447802514 895605028 1791210056 3582420112