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471083040 = 25345163223
BaseRepresentation
bin11100000101000…
…010100000100000
31012211102111110000
4130011002200200
51431044124130
6114424540000
714450065641
oct3405024040
91184374400
10471083040
11221a0672a
12111921600
137679c07c
14467c96c8
152b555260
hex1c142820

471083040 has 240 divisors, whose sum is σ = 1680231168. Its totient is φ = 124291584.

The previous prime is 471083023. The next prime is 471083057. The reversal of 471083040 is 40380174.

It is an interprime number because it is at equal distance from previous prime (471083023) and next prime (471083057).

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 471082995 and 471083013.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2112369 + ... + 2112591.

Almost surely, 2471083040 is an apocalyptic number.

471083040 is a gapful number since it is divisible by the number (40) 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 471083040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (840115584).

471083040 is an abundant number, since it is smaller than the sum of its proper divisors (1209148128).

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

471083040 is a wasteful number, since it uses less digits than its factorization.

471083040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 471083040 is about 21704.4474705071. The cubic root of 471083040 is about 778.0947582963.

The spelling of 471083040 in words is "four hundred seventy-one million, eighty-three thousand, forty".