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426724000 = 2553106681
BaseRepresentation
bin11001011011110…
…100101010100000
31002201221211021121
4121123310222200
51333220132000
6110202102024
713401044203
oct3133645240
91081854247
10426724000
111a996906a
12baaaa914
136a53a411
144095d93a
15276e1b1a
hex196f4aa0

426724000 has 48 divisors (see below), whose sum is σ = 1048470696. Its totient is φ = 170688000.

The previous prime is 426723961. The next prime is 426724027. The reversal of 426724000 is 427624.

It can be written as a sum of positive squares in 4 ways, for example, as 24641296 + 402082704 = 4964^2 + 20052^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49341 + ... + 57340.

Almost surely, 2426724000 is an apocalyptic number.

426724000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

426724000 is an abundant number, since it is smaller than the sum of its proper divisors (621746696).

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

426724000 is a wasteful number, since it uses less digits than its factorization.

426724000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106706 (or 106688 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 25.

The square root of 426724000 is about 20657.2989521864. The cubic root of 426724000 is about 752.8625420522.

The spelling of 426724000 in words is "four hundred twenty-six million, seven hundred twenty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 106681 213362 426724 533405 853448 1066810 1706896 2133620 2667025 3413792 4267240 5334050 8534480 10668100 13335125 17068960 21336200 26670250 42672400 53340500 85344800 106681000 213362000 426724000