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426604032 = 2932432153
BaseRepresentation
bin11001011011010…
…111011000000000
31002201201201201100
4121123113120000
51333202312112
6110155334400
713400034351
oct3133273000
91081651640
10426604032
111a9896a18
12baa51400
136a4c792a
144092bd28
15276bb2dc
hex196d7600

426604032 has 120 divisors (see below), whose sum is σ = 1260426024. Its totient is φ = 138829824.

The previous prime is 426604027. The next prime is 426604037. The reversal of 426604032 is 230406624.

426604032 is a `hidden beast` number, since 4 + 26 + 604 + 0 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (426604027) and next prime (426604037).

It is a junction number, because it is equal to n+sod(n) for n = 426603987 and 426604005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426604037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 197068 + ... + 199220.

Almost surely, 2426604032 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 426604032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630213012).

426604032 is an abundant number, since it is smaller than the sum of its proper divisors (833821992).

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

426604032 is a wasteful number, since it uses less digits than its factorization.

426604032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2220 (or 2201 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 426604032 is about 20654.3949802457. The cubic root of 426604032 is about 752.7919828783.

The spelling of 426604032 in words is "four hundred twenty-six million, six hundred four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 64 72 86 96 128 129 144 172 192 256 258 288 344 384 387 512 516 576 688 768 774 1032 1152 1376 1536 1548 2064 2153 2304 2752 3096 4128 4306 4608 5504 6192 6459 8256 8612 11008 12384 12918 16512 17224 19377 22016 24768 25836 33024 34448 38754 49536 51672 66048 68896 77508 92579 99072 103344 137792 155016 185158 198144 206688 275584 277737 310032 370316 413376 551168 555474 620064 740632 826752 833211 1102336 1110948 1240128 1481264 1653504 1666422 2221896 2480256 2962528 3307008 3332844 4443792 4960512 5925056 6665688 8887584 9921024 11850112 13331376 17775168 23700224 26662752 35550336 47400448 53325504 71100672 106651008 142201344 213302016 426604032