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426406256 = 24291098431
BaseRepresentation
bin11001011010100…
…111000101110000
31002201100200102022
4121122213011300
51333130000011
6110151211012
713365251633
oct3132470560
91081320368
10426406256
111a9771371
12ba976a68
136a4588c3
14408b9c1a
152767c8db
hex196a7170

426406256 has 40 divisors (see below), whose sum is σ = 862593600. Its totient is φ = 203938560.

The previous prime is 426406249. The next prime is 426406259. The reversal of 426406256 is 652604624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426406259) 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, 46361 + ... + 54791.

It is an arithmetic number, because the mean of its divisors is an integer number (21564840).

Almost surely, 2426406256 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 426406256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431296800).

426406256 is an abundant number, since it is smaller than the sum of its proper divisors (436187344).

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

426406256 is a wasteful number, since it uses less digits than its factorization.

426406256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8577 (or 8571 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 35.

The square root of 426406256 is about 20649.6066790629. The cubic root of 426406256 is about 752.6756320472.

The spelling of 426406256 in words is "four hundred twenty-six million, four hundred six thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 29 58 109 116 218 232 436 464 872 1744 3161 6322 8431 12644 16862 25288 33724 50576 67448 134896 244499 488998 918979 977996 1837958 1955992 3675916 3911984 7351832 14703664 26650391 53300782 106601564 213203128 426406256