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1427283072 = 2733412987
BaseRepresentation
bin101010100010010…
…1001110010000000
310200110200111022000
41111010221302000
510410341024242
6353343344000
750240464065
oct12504516200
93613614260
101427283072
11672733996
12339bb2000
13199911bc7
14d77b4c6c
1585483a4c
hex55129c80

1427283072 has 64 divisors (see below), whose sum is σ = 4212477600. Its totient is φ = 475759872.

The previous prime is 1427283071. The next prime is 1427283073. The reversal of 1427283072 is 2703827241.

It is an interprime number because it is at equal distance from previous prime (1427283071) and next prime (1427283073).

It is a tau number, because it is divible by the number of its divisors (64).

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

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

It is not an unprimeable number, because it can be changed into a prime (1427283071) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 203038 + ... + 209949.

Almost surely, 21427283072 is an apocalyptic number.

1427283072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1427283072 is an abundant number, since it is smaller than the sum of its proper divisors (2785194528).

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

1427283072 is an equidigital number, since it uses as much as digits as its factorization.

1427283072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413010 (or 412992 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 1427283072 is about 37779.4001011133. The cubic root of 1427283072 is about 1125.9092098797.

It can be divided in two parts, 14272 and 83072, that added together give a square (97344 = 3122).

The spelling of 1427283072 in words is "one billion, four hundred twenty-seven million, two hundred eighty-three thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 412987 825974 1238961 1651948 2477922 3303896 3716883 4955844 6607792 7433766 9911688 11150649 13215584 14867532 19823376 22301298 26431168 29735064 39646752 44602596 52862336 59470128 79293504 89205192 118940256 158587008 178410384 237880512 356820768 475761024 713641536 1427283072