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415052505 = 365716267
BaseRepresentation
bin11000101111010…
…011001011011001
31001220222212000000
4120233103023121
51322223140010
6105104003213
713166613420
oct3057231331
91056885000
10415052505
111a33170aa
12b7000509
1367cb1aca
143d1a22b7
15266887c0
hex18bd32d9

415052505 has 56 divisors (see below), whose sum is σ = 853484352. Its totient is φ = 189726624.

The previous prime is 415052423. The next prime is 415052513. The reversal of 415052505 is 505250514.

415052505 is a `hidden beast` number, since 4 + 150 + 5 + 2 + 505 = 666.

It is not a de Polignac number, because 415052505 - 28 = 415052249 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 17382 + ... + 33648.

It is an arithmetic number, because the mean of its divisors is an integer number (15240792).

Almost surely, 2415052505 is an apocalyptic number.

415052505 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

415052505 is an abundant number, since it is smaller than the sum of its proper divisors (438431847).

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

415052505 is an equidigital number, since it uses as much as digits as its factorization.

415052505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16297 (or 16282 counting only the distinct ones).

The product of its (nonzero) digits is 5000, while the sum is 27.

The square root of 415052505 is about 20372.8374312465. The cubic root of 415052505 is about 745.9350480242.

The spelling of 415052505 in words is "four hundred fifteen million, fifty-two thousand, five hundred five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 81 105 135 189 243 315 405 567 729 945 1215 1701 2835 3645 5103 8505 16267 25515 48801 81335 113869 146403 244005 341607 439209 569345 732015 1024821 1317627 1708035 2196045 3074463 3952881 5124105 6588135 9223389 11858643 15372315 19764405 27670167 46116945 59293215 83010501 138350835 415052505