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475335 = 3357503
BaseRepresentation
bin1110100000011000111
3220011001000
41310003013
5110202320
614104343
74016550
oct1640307
9804030
10475335
112a5143
121ab0b3
13138483
14c5327
1595c90
hex740c7

475335 has 32 divisors (see below), whose sum is σ = 967680. Its totient is φ = 216864.

The previous prime is 475333. The next prime is 475351. The reversal of 475335 is 533574.

475335 = T147 + T148 + ... + T181.

It is a happy number.

It is not a de Polignac number, because 475335 - 21 = 475333 is a prime.

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 = 475299 and 475308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (475331) 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, 694 + ... + 1196.

It is an arithmetic number, because the mean of its divisors is an integer number (30240).

2475335 is an apocalyptic number.

475335 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

475335 is an abundant number, since it is smaller than the sum of its proper divisors (492345).

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

475335 is a wasteful number, since it uses less digits than its factorization.

475335 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 518 counting only the distinct ones).

The product of its digits is 6300, while the sum is 27.

The square root of 475335 is about 689.4454293126. The cubic root of 475335 is about 78.0428758355.

The spelling of 475335 in words is "four hundred seventy-five thousand, three hundred thirty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 503 945 1509 2515 3521 4527 7545 10563 13581 17605 22635 31689 52815 67905 95067 158445 475335