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426640576 = 2629457503
BaseRepresentation
bin11001011011100…
…000010011000000
31002201210120211211
4121123200103000
51333204444301
6110200215504
713400246035
oct3133402300
91081716754
10426640576
111a991141a
12baa6a594
136a50b45b
144093b38c
15276c7051
hex196e04c0

426640576 has 56 divisors (see below), whose sum is σ = 879469920. Its totient is φ = 205105152.

The previous prime is 426640567. The next prime is 426640583. The reversal of 426640576 is 675046624.

It is a super-2 number, since 2×4266405762 = 364044362179223552, which contains 22 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 847941 + ... + 848443.

It is an arithmetic number, because the mean of its divisors is an integer number (15704820).

Almost surely, 2426640576 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 426640576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439734960).

426640576 is an abundant number, since it is smaller than the sum of its proper divisors (452829344).

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

426640576 is a wasteful number, since it uses less digits than its factorization.

426640576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001 (or 991 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 40.

The square root of 426640576 is about 20655.2796156334. The cubic root of 426640576 is about 752.8134776312.

The spelling of 426640576 in words is "four hundred twenty-six million, six hundred forty thousand, five hundred seventy-six".

Divisors: 1 2 4 8 16 29 32 58 64 116 232 457 464 503 914 928 1006 1828 1856 2012 3656 4024 7312 8048 13253 14587 14624 16096 26506 29174 29248 32192 53012 58348 106024 116696 212048 229871 233392 424096 459742 466784 848192 919484 933568 1838968 3677936 6666259 7355872 13332518 14711744 26665036 53330072 106660144 213320288 426640576