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4283726976 = 27323718513
BaseRepresentation
bin1111111101010100…
…0111110010000000
3102001112120212200200
43333111013302000
532233113230401
61545023045200
7211104035634
oct37725076200
912045525620
104283726976
1118a9063531
129b6740800
135336425b9
142c8cccdc4
151a111c686
hexff547c80

4283726976 has 48 divisors (see below), whose sum is σ = 12326873910. Its totient is φ = 1427908608.

The previous prime is 4283726959. The next prime is 4283726989. The reversal of 4283726976 is 6796273824.

It can be written as a sum of positive squares in only one way, i.e., 2301696576 + 1982030400 = 47976^2 + 44520^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1858105 + ... + 1860408.

Almost surely, 24283726976 is an apocalyptic number.

It is an amenable number.

4283726976 is an abundant number, since it is smaller than the sum of its proper divisors (8043146934).

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

4283726976 is a wasteful number, since it uses less digits than its factorization.

4283726976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3718533 (or 3718518 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 54.

The square root of 4283726976 is about 65450.1869821622. The cubic root of 4283726976 is about 1624.0794124255.

The spelling of 4283726976 in words is "four billion, two hundred eighty-three million, seven hundred twenty-six thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 3718513 7437026 11155539 14874052 22311078 29748104 33466617 44622156 59496208 66933234 89244312 118992416 133866468 178488624 237984832 267732936 356977248 475969664 535465872 713954496 1070931744 1427908992 2141863488 4283726976