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415413327 = 37223122867
BaseRepresentation
bin11000110000101…
…011010001001111
31001221200011221210
4120300223101033
51322321211302
6105115425503
713202645400
oct3060532117
91057604853
10415413327
111a35431aa
12b7155293
13680aa104
143d2579a7
152670a66c
hex18c2b44f

415413327 has 24 divisors (see below), whose sum is σ = 672333696. Its totient is φ = 227056368.

The previous prime is 415413253. The next prime is 415413329. The reversal of 415413327 is 723314514.

It is a happy number.

It is not a de Polignac number, because 415413327 - 219 = 414889039 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 415413294 and 415413303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415413329) 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, 58053 + ... + 64814.

It is an arithmetic number, because the mean of its divisors is an integer number (28013904).

Almost surely, 2415413327 is an apocalyptic number.

415413327 is a deficient number, since it is larger than the sum of its proper divisors (256920369).

415413327 is a wasteful number, since it uses less digits than its factorization.

415413327 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122907 (or 122900 counting only the distinct ones).

The product of its digits is 10080, while the sum is 30.

The square root of 415413327 is about 20381.6909749903. The cubic root of 415413327 is about 746.1511426275.

The spelling of 415413327 in words is "four hundred fifteen million, four hundred thirteen thousand, three hundred twenty-seven".

Divisors: 1 3 7 21 23 49 69 147 161 483 1127 3381 122867 368601 860069 2580207 2825941 6020483 8477823 18061449 19781587 59344761 138471109 415413327