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1850480640 = 2113452397
BaseRepresentation
bin110111001001100…
…0001100000000000
311202222000011020000
41232103001200000
512242210340030
6503342120000
763566553201
oct15623014000
94688004200
101850480640
1186a603548
12437880000
132364b6178
14137a975a8
15ac6ca860
hex6e4c1800

1850480640 has 480 divisors, whose sum is σ = 6992425440. Its totient is φ = 467140608.

The previous prime is 1850480629. The next prime is 1850480647. The reversal of 1850480640 is 460840581.

1850480640 is a `hidden beast` number, since 1 + 8 + 5 + 0 + 4 + 8 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1850480595 and 1850480604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1850480647) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 19077072 + ... + 19077168.

It is an arithmetic number, because the mean of its divisors is an integer number (14567553).

It is a vampire number, since it can be written as 4015846080 (with its own digits).

Almost surely, 21850480640 is an apocalyptic number.

1850480640 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 1850480640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3496212720).

1850480640 is an abundant number, since it is smaller than the sum of its proper divisors (5141944800).

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

1850480640 is an equidigital number, since it uses as much as digits as its factorization.

1850480640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 1850480640 is about 43017.2132988644. The cubic root of 1850480640 is about 1227.7073294474.

The spelling of 1850480640 in words is "one billion, eight hundred fifty million, four hundred eighty thousand, six hundred forty".