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413802664 = 231147100049
BaseRepresentation
bin11000101010100…
…010000010101000
31001211122100112121
4120222202002220
51321413141124
6105021121024
713153156522
oct3052420250
91054570477
10413802664
111a2643080
12b66b9174
1367964c62
143cd58a12
15264dd2e4
hex18aa20a8

413802664 has 32 divisors (see below), whose sum is σ = 864432000. Its totient is φ = 184088320.

The previous prime is 413802659. The next prime is 413802667. The reversal of 413802664 is 466208314.

It is not an unprimeable number, because it can be changed into a prime (413802667) 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, 45889 + ... + 54160.

It is an arithmetic number, because the mean of its divisors is an integer number (27013500).

Almost surely, 2413802664 is an apocalyptic number.

413802664 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

413802664 is an abundant number, since it is smaller than the sum of its proper divisors (450629336).

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

413802664 is a wasteful number, since it uses less digits than its factorization.

413802664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100113 (or 100109 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The square root of 413802664 is about 20342.1401037354. The cubic root of 413802664 is about 745.1855544294.

It can be divided in two parts, 41380 and 2664, that added together give a palindrome (44044).

The spelling of 413802664 in words is "four hundred thirteen million, eight hundred two thousand, six hundred sixty-four".

Divisors: 1 2 4 8 11 22 44 47 88 94 188 376 517 1034 2068 4136 100049 200098 400196 800392 1100539 2201078 4402156 4702303 8804312 9404606 18809212 37618424 51725333 103450666 206901332 413802664