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427278336 = 21438693
BaseRepresentation
bin11001011101111…
…100000000000000
31002202222222200120
4121131330000000
51333340401321
6110222020240
713405543302
oct3135740000
91082888616
10427278336
111aa2075a1
12bb117680
136a6a2824
1440a65972
15277a0ec6
hex1977c000

427278336 has 60 divisors (see below), whose sum is σ = 1139505192. Its totient is φ = 142409728.

The previous prime is 427278329. The next prime is 427278347. The reversal of 427278336 is 633872724.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 44806 + ... + 53498.

Almost surely, 2427278336 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 427278336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569752596).

427278336 is an abundant number, since it is smaller than the sum of its proper divisors (712226856).

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

427278336 is an frugal number, since it uses more digits than its factorization.

With its predecessor (427278335) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (8698).

427278336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8724 (or 8698 counting only the distinct ones).

The product of its digits is 338688, while the sum is 42.

The square root of 427278336 is about 20670.7120341801. The cubic root of 427278336 is about 753.1884031285.

The spelling of 427278336 in words is "four hundred twenty-seven million, two hundred seventy-eight thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 4096 6144 8192 8693 12288 16384 17386 24576 26079 34772 49152 52158 69544 104316 139088 208632 278176 417264 556352 834528 1112704 1669056 2225408 3338112 4450816 6676224 8901632 13352448 17803264 26704896 35606528 53409792 71213056 106819584 142426112 213639168 427278336