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441624012 = 22323273953
BaseRepresentation
bin11010010100101…
…010010111001100
31010202222211020220
4122110222113030
51401023432022
6111453311340
713641512364
oct3224522714
91122884226
10441624012
11207315725
12103a95550
13706563ab
144291b9a4
1528b8685c
hex1a52a5cc

441624012 has 72 divisors (see below), whose sum is σ = 1093108464. Its totient is φ = 138733056.

The previous prime is 441623969. The next prime is 441624023. The reversal of 441624012 is 210426144.

It is a happy number.

It is a super-2 number, since 2×4416240122 = 390063535949952288, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 462928 + ... + 463880.

It is an arithmetic number, because the mean of its divisors is an integer number (15182062).

Almost surely, 2441624012 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 441624012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546554232).

441624012 is an abundant number, since it is smaller than the sum of its proper divisors (651484452).

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

441624012 is a wasteful number, since it uses less digits than its factorization.

441624012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1079 (or 1054 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 441624012 is about 21014.8521764965. The cubic root of 441624012 is about 761.5251069276.

The spelling of 441624012 in words is "four hundred forty-one million, six hundred twenty-four thousand, twelve".

Divisors: 1 2 3 4 6 12 23 46 69 73 92 138 146 219 276 292 438 529 876 953 1058 1587 1679 1906 2116 2859 3174 3358 3812 5037 5718 6348 6716 10074 11436 20148 21919 38617 43838 65757 69569 77234 87676 115851 131514 139138 154468 208707 231702 263028 278276 417414 463404 504137 834828 1008274 1512411 1600087 2016548 3024822 3200174 4800261 6049644 6400348 9600522 19201044 36802001 73604002 110406003 147208004 220812006 441624012