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471376080 = 243257231431
BaseRepresentation
bin11100000110001…
…010000011010000
31012211222101102100
4130012022003100
51431133013310
6114435120400
714452426200
oct3406120320
91184871370
10471376080
1122209690a
12111a43100
1376872576
1446864400
152b5b1ec0
hex1c18a0d0

471376080 has 360 divisors, whose sum is σ = 1905306624. Its totient is φ = 104025600.

The previous prime is 471376069. The next prime is 471376091. The reversal of 471376080 is 80673174.

471376080 is a `hidden beast` number, since 47 + 1 + 3 + 7 + 608 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (471376069) and next prime (471376091).

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1093465 + ... + 1093895.

Almost surely, 2471376080 is an apocalyptic number.

471376080 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 471376080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (952653312).

471376080 is an abundant number, since it is smaller than the sum of its proper divisors (1433930544).

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

471376080 is a wasteful number, since it uses less digits than its factorization.

471376080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 471376080 is about 21711.1971111682. The cubic root of 471376080 is about 778.2560643408.

The spelling of 471376080 in words is "four hundred seventy-one million, three hundred seventy-six thousand, eighty".