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441374672 = 24172531801
BaseRepresentation
bin11010010011101…
…101011111010000
31010202112011020002
4122103231133100
51400442442142
6111444105132
713636423424
oct3223553720
91122464202
10441374672
11207165362
121039951a8
1370599a5b
1442894b84
1528b37a32
hex1a4ed7d0

441374672 has 60 divisors (see below), whose sum is σ = 926080236. Its totient is φ = 203673600.

The previous prime is 441374641. The next prime is 441374699. The reversal of 441374672 is 276473144.

It can be written as a sum of positive squares in 6 ways, for example, as 17673616 + 423701056 = 4204^2 + 20584^2 .

It is a congruent 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, 244172 + ... + 245972.

Almost surely, 2441374672 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 441374672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463040118).

441374672 is an abundant number, since it is smaller than the sum of its proper divisors (484705564).

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

441374672 is a wasteful number, since it uses less digits than its factorization.

441374672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1896 (or 1873 counting only the distinct ones).

The product of its digits is 112896, while the sum is 38.

The square root of 441374672 is about 21008.9188679475. The cubic root of 441374672 is about 761.3817614487.

The spelling of 441374672 in words is "four hundred forty-one million, three hundred seventy-four thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 17 34 53 68 106 136 212 272 289 424 578 848 901 1156 1801 1802 2312 3602 3604 4624 7204 7208 14408 14416 15317 28816 30617 30634 61234 61268 95453 122468 122536 190906 244936 245072 381812 489872 520489 763624 1040978 1527248 1622701 2081956 3245402 4163912 6490804 8327824 12981608 25963216 27585917 55171834 110343668 220687336 441374672