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604426400 = 2552977789
BaseRepresentation
bin100100000001101…
…101000010100000
31120010100001010222
4210001231002200
52214213121100
6135550542212
720656353044
oct4401550240
91503301128
10604426400
11290201556
1214a507968
13982b8576
145a3ba024
15380e4485
hex2406d0a0

604426400 has 72 divisors (see below), whose sum is σ = 1490959260. Its totient is φ = 239247360.

The previous prime is 604426391. The next prime is 604426411. The reversal of 604426400 is 4624406.

It can be written as a sum of positive squares in 6 ways, for example, as 229461904 + 374964496 = 15148^2 + 19364^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 604426400.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 73706 + ... + 81494.

Almost surely, 2604426400 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 604426400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745479630).

604426400 is an abundant number, since it is smaller than the sum of its proper divisors (886532860).

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

604426400 is a wasteful number, since it uses less digits than its factorization.

604426400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7906 (or 7893 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The square root of 604426400 is about 24585.0849093510. The cubic root of 604426400 is about 845.5016803132.

The spelling of 604426400 in words is "six hundred four million, four hundred twenty-six thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 97 100 160 194 200 388 400 485 776 800 970 1552 1940 2425 3104 3880 4850 7760 7789 9700 15520 15578 19400 31156 38800 38945 62312 77600 77890 124624 155780 194725 249248 311560 389450 623120 755533 778900 1246240 1511066 1557800 3022132 3115600 3777665 6044264 6231200 7555330 12088528 15110660 18888325 24177056 30221320 37776650 60442640 75553300 120885280 151106600 302213200 604426400