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415513413 = 32719347129
BaseRepresentation
bin11000110001000…
…011101101000101
31001221212021020200
4120301003231011
51322332412123
6105121521113
713203543240
oct3061035505
91057767220
10415513413
111a3601417
12b71a3199
1368113833
143d282257
152672a143
hex18c43b45

415513413 has 24 divisors (see below), whose sum is σ = 722030400. Its totient is φ = 224938944.

The previous prime is 415513411. The next prime is 415513453. The reversal of 415513413 is 314315514.

It is a happy number.

It is not a de Polignac number, because 415513413 - 21 = 415513411 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415513411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 172368 + ... + 174761.

It is an arithmetic number, because the mean of its divisors is an integer number (30084600).

Almost surely, 2415513413 is an apocalyptic number.

It is an amenable number.

415513413 is a deficient number, since it is larger than the sum of its proper divisors (306516987).

415513413 is a wasteful number, since it uses less digits than its factorization.

415513413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347161 (or 347158 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 415513413 is about 20384.1461189818. The cubic root of 415513413 is about 746.2110614936.

Adding to 415513413 its reverse (314315514), we get a palindrome (729828927).

The spelling of 415513413 in words is "four hundred fifteen million, five hundred thirteen thousand, four hundred thirteen".

Divisors: 1 3 7 9 19 21 57 63 133 171 399 1197 347129 1041387 2429903 3124161 6595451 7289709 19786353 21869127 46168157 59359059 138504471 415513413