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604426420 = 2251310123017
BaseRepresentation
bin100100000001101…
…101000010110100
31120010100001011201
4210001231002310
52214213121140
6135550542244
720656353103
oct4401550264
91503301151
10604426420
11290201574
1214a507984
13982b8590
145a3ba03a
15380e449a
hex2406d0b4

604426420 has 48 divisors (see below), whose sum is σ = 1380527568. Its totient is φ = 220953600.

The previous prime is 604426411. The next prime is 604426421. The reversal of 604426420 is 24624406.

It can be written as a sum of positive squares in 8 ways, for example, as 1036324 + 603390096 = 1018^2 + 24564^2 .

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (604426421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14752 + ... + 37768.

It is an arithmetic number, because the mean of its divisors is an integer number (28760991).

Almost surely, 2604426420 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 604426420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690263784).

604426420 is an abundant number, since it is smaller than the sum of its proper divisors (776101148).

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

604426420 is a wasteful number, since it uses less digits than its factorization.

604426420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23140 (or 23138 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

The square root of 604426420 is about 24585.0853161017. The cubic root of 604426420 is about 845.5016896389.

The spelling of 604426420 in words is "six hundred four million, four hundred twenty-six thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 101 130 202 260 404 505 1010 1313 2020 2626 5252 6565 13130 23017 26260 46034 92068 115085 230170 299221 460340 598442 1196884 1496105 2324717 2992210 4649434 5984420 9298868 11623585 23247170 30221321 46494340 60442642 120885284 151106605 302213210 604426420