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475278401 = 13175340577
BaseRepresentation
bin11100010101000…
…010110001000001
31020010022122101202
4130111002301001
51433132402101
6115054510545
714530541213
oct3425026101
91203278352
10475278401
11224311774
12113205455
137760a830
144719c5b3
152bad336b
hex1c542c41

475278401 has 16 divisors (see below), whose sum is σ = 552185424. Its totient is φ = 405110784.

The previous prime is 475278383. The next prime is 475278403. The reversal of 475278401 is 104872574.

It can be written as a sum of positive squares in 8 ways, for example, as 8761600 + 466516801 = 2960^2 + 21599^2 .

It is a de Polignac number, because none of the positive numbers 2k-475278401 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (475278403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8576 + ... + 32001.

It is an arithmetic number, because the mean of its divisors is an integer number (34511589).

Almost surely, 2475278401 is an apocalyptic number.

It is an amenable number.

475278401 is a deficient number, since it is larger than the sum of its proper divisors (76907023).

475278401 is a wasteful number, since it uses less digits than its factorization.

475278401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40660.

The product of its (nonzero) digits is 62720, while the sum is 38.

The square root of 475278401 is about 21800.8807390894. The cubic root of 475278401 is about 780.3977814369.

The spelling of 475278401 in words is "four hundred seventy-five million, two hundred seventy-eight thousand, four hundred one".

Divisors: 1 13 17 53 221 689 901 11713 40577 527501 689809 2150581 8967517 27957553 36559877 475278401