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1027349748 = 223228537493
BaseRepresentation
bin111101001111000…
…001110011110100
32122121010202220200
4331033001303310
54101000142443
6245535400500
734313220525
oct7517016364
92577122820
101027349748
11487a04087
12248083130
13134ac4a79
149a62a84c
15602d4dd3
hex3d3c1cf4

1027349748 has 18 divisors (see below), whose sum is σ = 2596911954. Its totient is φ = 342449904.

The previous prime is 1027349747. The next prime is 1027349749. The reversal of 1027349748 is 8479437201.

It is an interprime number because it is at equal distance from previous prime (1027349747) and next prime (1027349749).

It can be written as a sum of positive squares in only one way, i.e., 1027330704 + 19044 = 32052^2 + 138^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1027349747) by changing a digit.

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, 14268711 + ... + 14268782.

Almost surely, 21027349748 is an apocalyptic number.

1027349748 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1027349748 is an abundant number, since it is smaller than the sum of its proper divisors (1569562206).

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

1027349748 is a wasteful number, since it uses less digits than its factorization.

1027349748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28537503 (or 28537498 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 1027349748 is about 32052.2970783687. The cubic root of 1027349748 is about 1009.0347108442.

The spelling of 1027349748 in words is "one billion, twenty-seven million, three hundred forty-nine thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 28537493 57074986 85612479 114149972 171224958 256837437 342449916 513674874 1027349748