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478707345 = 32585712413
BaseRepresentation
bin11100100010000…
…111111010010001
31020100202212000200
4130202013322101
51440022113340
6115300205413
714601642144
oct3442077221
91210685020
10478707345
11226243a06
12114399869
137823b4ac
144781205b
152c05e330
hex1c887e91

478707345 has 24 divisors (see below), whose sum is σ = 830794536. Its totient is φ = 254992128.

The previous prime is 478707343. The next prime is 478707353. The reversal of 478707345 is 543707874.

478707345 is a `hidden beast` number, since 478 + 70 + 73 + 45 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 99860049 + 378847296 = 9993^2 + 19464^2 .

It is not a de Polignac number, because 478707345 - 21 = 478707343 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 478707345.

It is not an unprimeable number, because it can be changed into a prime (478707343) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32359 + ... + 44771.

It is an arithmetic number, because the mean of its divisors is an integer number (34616439).

Almost surely, 2478707345 is an apocalyptic number.

478707345 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

478707345 is a deficient number, since it is larger than the sum of its proper divisors (352087191).

478707345 is a wasteful number, since it uses less digits than its factorization.

478707345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13281 (or 13278 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 45.

The square root of 478707345 is about 21879.3817325810. The cubic root of 478707345 is about 782.2700389560.

The spelling of 478707345 in words is "four hundred seventy-eight million, seven hundred seven thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 45 857 2571 4285 7713 12413 12855 37239 38565 62065 111717 186195 558585 10637941 31913823 53189705 95741469 159569115 478707345