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415054112 = 25111319001
BaseRepresentation
bin11000101111010…
…011100100100000
31001220222221012112
4120233103210200
51322223212422
6105104014452
713166621204
oct3057234440
91056887175
10415054112
111a3318330
12b7001428
1367cb2765
143d1a2b04
1526688ee2
hex18bd3920

415054112 has 48 divisors (see below), whose sum is σ = 898327584. Its totient is φ = 187200000.

The previous prime is 415054109. The next prime is 415054117. The reversal of 415054112 is 211450514.

It is not an unprimeable number, because it can be changed into a prime (415054117) 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 7 ways as a sum of consecutive naturals, for example, 41612 + ... + 50612.

It is an arithmetic number, because the mean of its divisors is an integer number (18715158).

Almost surely, 2415054112 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 415054112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449163792).

415054112 is an abundant number, since it is smaller than the sum of its proper divisors (483273472).

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

415054112 is a wasteful number, since it uses less digits than its factorization.

415054112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9153 (or 9145 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 23.

The square root of 415054112 is about 20372.8768709773. The cubic root of 415054112 is about 745.9360107265.

The spelling of 415054112 in words is "four hundred fifteen million, fifty-four thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 88 131 176 262 352 524 1048 1441 2096 2882 4192 5764 9001 11528 18002 23056 36004 46112 72008 99011 144016 198022 288032 396044 792088 1179131 1584176 2358262 3168352 4716524 9433048 12970441 18866096 25940882 37732192 51881764 103763528 207527056 415054112