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412224054 = 231179173457
BaseRepresentation
bin11000100100100…
…000101000110110
31001201200011002120
4120210200220312
51321012132204
6104523220410
713133563254
oct3044405066
91051604076
10412224054
111a1765040
12b6077706
1367531578
143ca675d4
15262ca6d9
hex18920a36

412224054 has 64 divisors (see below), whose sum is σ = 918051840. Its totient is φ = 122353920.

The previous prime is 412224037. The next prime is 412224079. The reversal of 412224054 is 450422214.

It is a happy number.

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 31 ways as a sum of consecutive naturals, for example, 901794 + ... + 902250.

It is an arithmetic number, because the mean of its divisors is an integer number (14344560).

Almost surely, 2412224054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412224054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459025920).

412224054 is an abundant number, since it is smaller than the sum of its proper divisors (505827786).

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

412224054 is a wasteful number, since it uses less digits than its factorization.

412224054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725.

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 412224054 is about 20303.3015541808. The cubic root of 412224054 is about 744.2367475554.

Adding to 412224054 its reverse (450422214), we get a palindrome (862646268).

The spelling of 412224054 in words is "four hundred twelve million, two hundred twenty-four thousand, fifty-four".

Divisors: 1 2 3 6 11 22 33 66 79 158 173 237 346 457 474 519 869 914 1038 1371 1738 1903 2607 2742 3806 5027 5214 5709 10054 11418 13667 15081 27334 30162 36103 41001 72206 79061 82002 108309 150337 158122 216618 237183 300674 397133 451011 474366 794266 869671 902022 1191399 1739342 2382798 2609013 5218026 6245819 12491638 18737457 37474914 68704009 137408018 206112027 412224054