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441906912 = 25322366713
BaseRepresentation
bin11010010101101…
…111011011100000
31010210112012022200
4122111233123200
51401112010122
6111503333200
713644101226
oct3225573340
91123465280
10441906912
11207499227
12103bb1200
13707250a5
1442992b16
1528be05ac
hex1a56f6e0

441906912 has 72 divisors (see below), whose sum is σ = 1311330384. Its totient is φ = 140895744.

The previous prime is 441906869. The next prime is 441906919. The reversal of 441906912 is 219609144.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441906919) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26733 + ... + 39980.

It is an arithmetic number, because the mean of its divisors is an integer number (18212922).

Almost surely, 2441906912 is an apocalyptic number.

It is an amenable number.

441906912 is an abundant number, since it is smaller than the sum of its proper divisors (869423472).

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

441906912 is a wasteful number, since it uses less digits than its factorization.

441906912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66752 (or 66741 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 441906912 is about 21021.5820527381. The cubic root of 441906912 is about 761.6876807168.

The spelling of 441906912 in words is "four hundred forty-one million, nine hundred six thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 144 184 207 276 288 368 414 552 736 828 1104 1656 2208 3312 6624 66713 133426 200139 266852 400278 533704 600417 800556 1067408 1200834 1534399 1601112 2134816 2401668 3068798 3202224 4603197 4803336 6137596 6404448 9206394 9606672 12275192 13809591 18412788 19213344 24550384 27619182 36825576 49100768 55238364 73651152 110476728 147302304 220953456 441906912