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415502401 = 2979717977
BaseRepresentation
bin11000110001000…
…001000001000001
31001221211201010211
4120301001001001
51322332034101
6105121354121
713203466156
oct3061010101
91057751124
10415502401
111a35a4116
12b7198941
136810b812
143d27c22d
1526726c51
hex18c41041

415502401 has 8 divisors (see below), whose sum is σ = 430393320. Its totient is φ = 400649088.

The previous prime is 415502387. The next prime is 415502411. The reversal of 415502401 is 104205514.

It can be written as a sum of positive squares in 4 ways, for example, as 62964225 + 352538176 = 7935^2 + 18776^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 415502401 - 25 = 415502369 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (415502411) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14125 + ... + 32101.

It is an arithmetic number, because the mean of its divisors is an integer number (53799165).

Almost surely, 2415502401 is an apocalyptic number.

It is an amenable number.

415502401 is a deficient number, since it is larger than the sum of its proper divisors (14890919).

415502401 is a wasteful number, since it uses less digits than its factorization.

415502401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18803.

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 415502401 is about 20383.8760053136. The cubic root of 415502401 is about 746.2044693688.

Adding to 415502401 its reverse (104205514), we get a palindrome (519707915).

The spelling of 415502401 in words is "four hundred fifteen million, five hundred two thousand, four hundred one".

Divisors: 1 29 797 17977 23113 521333 14327669 415502401