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412241104 = 24112419719
BaseRepresentation
bin11000100100100…
…100110011010000
31001201201000111001
4120210210303100
51321013203404
6104523431344
713133664052
oct3044446320
91051630431
10412241104
111a1776930
12b6085554
1367539262
143ca6d8d2
15262d07a4
hex18924cd0

412241104 has 40 divisors (see below), whose sum is σ = 875033280. Its totient is φ = 186585600.

The previous prime is 412241099. The next prime is 412241153. The reversal of 412241104 is 401142214.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 37557 + ... + 47275.

It is an arithmetic number, because the mean of its divisors is an integer number (21875832).

Almost surely, 2412241104 is an apocalyptic number.

412241104 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412241104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437516640).

412241104 is an abundant number, since it is smaller than the sum of its proper divisors (462792176).

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

412241104 is a wasteful number, since it uses less digits than its factorization.

412241104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9979 (or 9973 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 412241104 is about 20303.7214322892. The cubic root of 412241104 is about 744.2470082065.

Adding to 412241104 its reverse (401142214), we get a palindrome (813383318).

The spelling of 412241104 in words is "four hundred twelve million, two hundred forty-one thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 44 88 176 241 482 964 1928 2651 3856 5302 9719 10604 19438 21208 38876 42416 77752 106909 155504 213818 427636 855272 1710544 2342279 4684558 9369116 18738232 25765069 37476464 51530138 103060276 206120552 412241104