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800081440 = 25524120749
BaseRepresentation
bin101111101100000…
…100011000100000
32001202111100101221
4233230010120200
53114310101230
6211220304424
725553402644
oct5754043040
92052440357
10800081440
11380697034
121a3b42114
13c99b0c92
147838ac24
154a39127a
hex2fb04620

800081440 has 48 divisors (see below), whose sum is σ = 1898127000. Its totient is φ = 318689280.

The previous prime is 800081437. The next prime is 800081461. The reversal of 800081440 is 44180008.

It can be written as a sum of positive squares in 4 ways, for example, as 514200976 + 285880464 = 22676^2 + 16908^2 .

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, 28186 + ... + 48934.

Almost surely, 2800081440 is an apocalyptic number.

800081440 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 800081440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (949063500).

800081440 is an abundant number, since it is smaller than the sum of its proper divisors (1098045560).

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

800081440 is a wasteful number, since it uses less digits than its factorization.

800081440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21005 (or 20997 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 25.

The square root of 800081440 is about 28285.7108802307. The cubic root of 800081440 is about 928.3492665699.

The spelling of 800081440 in words is "eight hundred million, eighty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 241 482 964 1205 1928 2410 3856 4820 7712 9640 19280 20749 38560 41498 82996 103745 165992 207490 331984 414980 663968 829960 1659920 3319840 5000509 10001018 20002036 25002545 40004072 50005090 80008144 100010180 160016288 200020360 400040720 800081440