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441140448 = 2537656459
BaseRepresentation
bin11010010010110…
…100010011100000
31010202002020221010
4122102310103200
51400412443243
6111435100520
713634426520
oct3222642340
91122066833
10441140448
11207015391
121038a1740
1370517268
1442833680
1528add433
hex1a4b44e0

441140448 has 48 divisors (see below), whose sum is σ = 1323423360. Its totient is φ = 126039936.

The previous prime is 441140417. The next prime is 441140473. The reversal of 441140448 is 844041144.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 327558 + ... + 328901.

It is an arithmetic number, because the mean of its divisors is an integer number (27571320).

Almost surely, 2441140448 is an apocalyptic number.

441140448 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

441140448 is an abundant number, since it is smaller than the sum of its proper divisors (882282912).

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

441140448 is a wasteful number, since it uses less digits than its factorization.

441140448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656479 (or 656471 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 30.

The square root of 441140448 is about 21003.3437337963. The cubic root of 441140448 is about 761.2470569692.

The spelling of 441140448 in words is "four hundred forty-one million, one hundred forty thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 656459 1312918 1969377 2625836 3938754 4595213 5251672 7877508 9190426 10503344 13785639 15755016 18380852 21006688 27571278 31510032 36761704 55142556 63020064 73523408 110285112 147046816 220570224 441140448