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426828312 = 233319104003
BaseRepresentation
bin11001011100001…
…110001000011000
31002202011010101000
4121130032020120
51333232001222
6110204225000
713401660261
oct3134161030
91082133330
10426828312
111a9a2a479
12bab3b160
136a575a41
1440989968
15277129ac
hex1970e218

426828312 has 64 divisors (see below), whose sum is σ = 1248048000. Its totient is φ = 134786592.

The previous prime is 426828301. The next prime is 426828317. The reversal of 426828312 is 213828624.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426828317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47898 + ... + 56105.

It is an arithmetic number, because the mean of its divisors is an integer number (19500750).

Almost surely, 2426828312 is an apocalyptic number.

It is an amenable number.

426828312 is an abundant number, since it is smaller than the sum of its proper divisors (821219688).

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

426828312 is a wasteful number, since it uses less digits than its factorization.

426828312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104037 (or 104027 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 426828312 is about 20659.8236197698. The cubic root of 426828312 is about 752.9238824028.

The spelling of 426828312 in words is "four hundred twenty-six million, eight hundred twenty-eight thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 108 114 152 171 216 228 342 456 513 684 1026 1368 2052 4104 104003 208006 312009 416012 624018 832024 936027 1248036 1872054 1976057 2496072 2808081 3744108 3952114 5616162 5928171 7488216 7904228 11232324 11856342 15808456 17784513 22464648 23712684 35569026 47425368 53353539 71138052 106707078 142276104 213414156 426828312