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413423504 = 241315113163
BaseRepresentation
bin11000101001000…
…101011110010000
31001210221002102122
4120221011132100
51321314023004
6105005033412
713150020224
oct3051053620
91053832378
10413423504
111a240421a
12b6555868
13678614c0
143cc9a784
1526465cbe
hex18a45790

413423504 has 40 divisors (see below), whose sum is σ = 868402752. Its totient is φ = 189532800.

The previous prime is 413423501. The next prime is 413423509. The reversal of 413423504 is 405324314.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (413423501) 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, 24827 + ... + 37989.

Almost surely, 2413423504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413423504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434201376).

413423504 is an abundant number, since it is smaller than the sum of its proper divisors (454979248).

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

413423504 is a wasteful number, since it uses less digits than its factorization.

413423504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13335 (or 13329 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

The square root of 413423504 is about 20332.8183978513. The cubic root of 413423504 is about 744.9578848015.

Adding to 413423504 its reverse (405324314), we get a palindrome (818747818).

The spelling of 413423504 in words is "four hundred thirteen million, four hundred twenty-three thousand, five hundred four".

Divisors: 1 2 4 8 13 16 26 52 104 151 208 302 604 1208 1963 2416 3926 7852 13163 15704 26326 31408 52652 105304 171119 210608 342238 684476 1368952 1987613 2737904 3975226 7950452 15900904 25838969 31801808 51677938 103355876 206711752 413423504