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664721424 = 24335093023
BaseRepresentation
bin100111100111101…
…101100000010000
31201022210100101000
4213213231200100
52330132041144
6145543142000
722321016223
oct4747554020
91638710330
10664721424
11311244054
12166744900
13a79398b3
14643d35ba
153d554769
hex279ed810

664721424 has 80 divisors (see below), whose sum is σ = 1912377600. Its totient is φ = 221065344.

The previous prime is 664721419. The next prime is 664721461. The reversal of 664721424 is 424127466.

664721424 is a `hidden beast` number, since 6 + 647 + 2 + 1 + 4 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 218377 + ... + 221399.

It is an arithmetic number, because the mean of its divisors is an integer number (23904720).

Almost surely, 2664721424 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 664721424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (956188800).

664721424 is an abundant number, since it is smaller than the sum of its proper divisors (1247656176).

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

664721424 is a wasteful number, since it uses less digits than its factorization.

664721424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3549 (or 3537 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 664721424 is about 25782.1919936998. The cubic root of 664721424 is about 872.7299739973.

It can be divided in two parts, 66472 and 1424, that added together give a triangular number (67896 = T368).

The spelling of 664721424 in words is "six hundred sixty-four million, seven hundred twenty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 509 1018 1527 2036 3023 3054 4072 4581 6046 6108 8144 9069 9162 12092 12216 13743 18138 18324 24184 24432 27207 27486 36276 36648 48368 54414 54972 72552 73296 81621 108828 109944 145104 163242 217656 219888 326484 435312 652968 1305936 1538707 3077414 4616121 6154828 9232242 12309656 13848363 18464484 24619312 27696726 36928968 41545089 55393452 73857936 83090178 110786904 166180356 221573808 332360712 664721424