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4491004448 = 257225111411
BaseRepresentation
bin1000010111010111…
…10100101000100000
3102120222121122221002
410023223310220200
533144144120243
62021345451132
7216201623300
oct41353645040
912528548832
104491004448
1119a5067127
12a54040aa8
135675771a8
14308647600
151b4412eb8
hex10baf4a20

4491004448 has 72 divisors (see below), whose sum is σ = 10327083984. Its totient is φ = 1916880000.

The previous prime is 4491004433. The next prime is 4491004451. The reversal of 4491004448 is 8444001944.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 387863 + ... + 399273.

It is an arithmetic number, because the mean of its divisors is an integer number (143431722).

Almost surely, 24491004448 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 4491004448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5163541992).

4491004448 is an abundant number, since it is smaller than the sum of its proper divisors (5836079536).

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

4491004448 is a wasteful number, since it uses less digits than its factorization.

4491004448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11686 (or 11671 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 38.

The square root of 4491004448 is about 67014.9568976956. The cubic root of 4491004448 is about 1649.8627921413.

The spelling of 4491004448 in words is "four billion, four hundred ninety-one million, four thousand, four hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 251 392 502 784 1004 1568 1757 2008 3514 4016 7028 8032 11411 12299 14056 22822 24598 28112 45644 49196 56224 79877 91288 98392 159754 182576 196784 319508 365152 393568 559139 639016 1118278 1278032 2236556 2556064 2864161 4473112 5728322 8946224 11456644 17892448 20049127 22913288 40098254 45826576 80196508 91653152 140343889 160393016 280687778 320786032 561375556 641572064 1122751112 2245502224 4491004448