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8444412 = 223467389
BaseRepresentation
bin100000001101…
…100111111100
3120220000120000
4200031213330
54130210122
6500554300
7131530164
oct40154774
916800500
108444412
114848459
1229b2990
1319987c2
14119b5a4
15b1c0ac
hex80d9fc

8444412 has 60 divisors (see below), whose sum is σ = 22462440. Its totient is φ = 2765664.

The previous prime is 8444411. The next prime is 8444419. The reversal of 8444412 is 2144448.

It is a happy number.

8444412 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8444411) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 21514 + ... + 21902.

It is an arithmetic number, because the mean of its divisors is an integer number (374374).

Almost surely, 28444412 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 8444412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11231220).

8444412 is an abundant number, since it is smaller than the sum of its proper divisors (14018028).

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

8444412 is a wasteful number, since it uses less digits than its factorization.

8444412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 461 counting only the distinct ones).

The product of its digits is 4096, while the sum is 27.

The square root of 8444412 is about 2905.9270465722. The cubic root of 8444412 is about 203.6368973442.

The spelling of 8444412 in words is "eight million, four hundred forty-four thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 67 81 108 134 162 201 268 324 389 402 603 778 804 1167 1206 1556 1809 2334 2412 3501 3618 4668 5427 7002 7236 10503 10854 14004 21006 21708 26063 31509 42012 52126 63018 78189 104252 126036 156378 234567 312756 469134 703701 938268 1407402 2111103 2814804 4222206 8444412