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1804467840 = 27357316171
BaseRepresentation
bin110101110001101…
…1111111010000000
311122202102110112020
41223203133322000
512143420432330
6455020001440
762500503120
oct15343377200
94582373466
101804467840
1184663643a
12424390280
13229ac5866
1413191ac80
15a863c210
hex6b8dfe80

1804467840 has 512 divisors, whose sum is σ = 6993838080. Its totient is φ = 387072000.

The previous prime is 1804467811. The next prime is 1804467853. The reversal of 1804467840 is 487644081.

It is a happy number.

It is a super-2 number, since 2×18044678402 = 6512208371188531200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1804467792 and 1804467801.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25415005 + ... + 25415075.

It is an arithmetic number, because the mean of its divisors is an integer number (13659840).

Almost surely, 21804467840 is an apocalyptic number.

1804467840 is a gapful number since it is divisible by the number (10) 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 1804467840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3496919040).

1804467840 is an abundant number, since it is smaller than the sum of its proper divisors (5189370240).

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

1804467840 is a wasteful number, since it uses less digits than its factorization.

1804467840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 42.

The square root of 1804467840 is about 42479.0282374727. The cubic root of 1804467840 is about 1217.4460232962.

The spelling of 1804467840 in words is "one billion, eight hundred four million, four hundred sixty-seven thousand, eight hundred forty".