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426444840 = 233252351503
BaseRepresentation
bin11001011010110…
…000100000101000
31002201102122100100
4121122300200220
51333132213330
6110152105400
713365502263
oct3132604050
91081378310
10426444840
111a9798358
12ba995260
136a470333
14408c9cda
1527689060
hex196b0828

426444840 has 96 divisors (see below), whose sum is σ = 1446232320. Its totient is φ = 108772224.

The previous prime is 426444829. The next prime is 426444853. The reversal of 426444840 is 48444624.

426444840 is a `hidden beast` number, since 4 + 2 + 644 + 4 + 8 + 4 + 0 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 426444795 and 426444804.

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 23 ways as a sum of consecutive naturals, for example, 17472 + ... + 34031.

It is an arithmetic number, because the mean of its divisors is an integer number (15064920).

Almost surely, 2426444840 is an apocalyptic number.

426444840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

426444840 is an abundant number, since it is smaller than the sum of its proper divisors (1019787480).

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

426444840 is a wasteful number, since it uses less digits than its factorization.

426444840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51543 (or 51536 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

The square root of 426444840 is about 20650.5409130124. The cubic root of 426444840 is about 752.6983336847.

The spelling of 426444840 in words is "four hundred twenty-six million, four hundred forty-four thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 23 24 30 36 40 45 46 60 69 72 90 92 115 120 138 180 184 207 230 276 345 360 414 460 552 690 828 920 1035 1380 1656 2070 2760 4140 8280 51503 103006 154509 206012 257515 309018 412024 463527 515030 618036 772545 927054 1030060 1184569 1236072 1545090 1854108 2060120 2317635 2369138 3090180 3553707 3708216 4635270 4738276 5922845 6180360 7107414 9270540 9476552 10661121 11845690 14214828 17768535 18541080 21322242 23691380 28429656 35537070 42644484 47382760 53305605 71074140 85288968 106611210 142148280 213222420 426444840