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475446240 = 25335157701
BaseRepresentation
bin11100010101101…
…011101111100000
31020010122011122000
4130111223233200
51433203234430
6115102244000
714532140433
oct3425535740
91203564560
10475446240
11224416885
12113286600
1377669049
144720381a
152bb17e60
hex1c56bbe0

475446240 has 192 divisors, whose sum is σ = 1677049920. Its totient is φ = 125798400.

The previous prime is 475446239. The next prime is 475446241. The reversal of 475446240 is 42644574.

It is an interprime number because it is at equal distance from previous prime (475446239) and next prime (475446241).

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 = 475446195 and 475446204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (475446241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 677890 + ... + 678590.

It is an arithmetic number, because the mean of its divisors is an integer number (8734635).

Almost surely, 2475446240 is an apocalyptic number.

475446240 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 475446240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (838524960).

475446240 is an abundant number, since it is smaller than the sum of its proper divisors (1201603680).

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

475446240 is a wasteful number, since it uses less digits than its factorization.

475446240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 882 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

The square root of 475446240 is about 21804.7297621411. The cubic root of 475446240 is about 780.4896334040.

The spelling of 475446240 in words is "four hundred seventy-five million, four hundred forty-six thousand, two hundred forty".