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1398495438 = 2323712971619
BaseRepresentation
bin101001101011011…
…0101100011001110
310121110111221002100
41103112311203032
510331003323223
6350434335530
746441005114
oct12326654316
93543457070
101398495438
1165846135a
1233042a5a6
131939729c2
14d3a3dab4
1582b99043
hex535b58ce

1398495438 has 48 divisors (see below), whose sum is σ = 3116290320. Its totient is φ = 452936448.

The previous prime is 1398495433. The next prime is 1398495503. The reversal of 1398495438 is 8345948931.

1398495438 is a `hidden beast` number, since 1 + 3 + 98 + 4 + 9 + 543 + 8 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1398495431) 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 23 ways as a sum of consecutive naturals, for example, 862993 + ... + 864611.

It is an arithmetic number, because the mean of its divisors is an integer number (64922715).

Almost surely, 21398495438 is an apocalyptic number.

1398495438 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1398495438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1558145160).

1398495438 is an abundant number, since it is smaller than the sum of its proper divisors (1717794882).

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

1398495438 is a wasteful number, since it uses less digits than its factorization.

1398495438 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2961 (or 2958 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The square root of 1398495438 is about 37396.4629076066. The cubic root of 1398495438 is about 1118.2880515621.

The spelling of 1398495438 in words is "one billion, three hundred ninety-eight million, four hundred ninety-five thousand, four hundred thirty-eight".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 666 1297 1619 2594 3238 3891 4857 7782 9714 11673 14571 23346 29142 47989 59903 95978 119806 143967 179709 287934 359418 431901 539127 863802 1078254 2099843 4199686 6299529 12599058 18898587 37797174 77694191 155388382 233082573 466165146 699247719 1398495438