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426643920 = 24325592561
BaseRepresentation
bin11001011011100…
…001000111010000
31002201210202102200
4121123201013100
51333210101140
6110200243200
713400261553
oct3133410720
91081722380
10426643920
111a991398a
12baa70500
136a50cb31
144093c69a
15276c8030
hex196e11d0

426643920 has 60 divisors (see below), whose sum is σ = 1432814916. Its totient is φ = 113771520.

The previous prime is 426643913. The next prime is 426643933. The reversal of 426643920 is 29346624.

426643920 is a `hidden beast` number, since 4 + 2 + 6 + 643 + 9 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 269091216 + 157552704 = 16404^2 + 12552^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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, 295561 + ... + 297000.

Almost surely, 2426643920 is an apocalyptic number.

426643920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

426643920 is an abundant number, since it is smaller than the sum of its proper divisors (1006170996).

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

426643920 is a wasteful number, since it uses less digits than its factorization.

426643920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592580 (or 592571 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 426643920 is about 20655.3605633017. The cubic root of 426643920 is about 752.8154444715.

The spelling of 426643920 in words is "four hundred twenty-six million, six hundred forty-three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 592561 1185122 1777683 2370244 2962805 3555366 4740488 5333049 5925610 7110732 8888415 9480976 10666098 11851220 14221464 17776830 21332196 23702440 26665245 28442928 35553660 42664392 47404880 53330490 71107320 85328784 106660980 142214640 213321960 426643920