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1388233081 = 192372532
BaseRepresentation
bin101001010111110…
…1100000101111001
310120202012112210001
41102233230011321
510320341424311
6345430353001
746254533524
oct12257540571
93522175701
101388233081
11652692074
12328abb761
131917bb8c1
14d252bbbb
1581d1d4c1
hex52bec179

1388233081 has 27 divisors (see below), whose sum is σ = 1534759821. Its totient is φ = 1255479264.

The previous prime is 1388233079. The next prime is 1388233097. The reversal of 1388233081 is 1803328831.

The square root of 1388233081 is 37259.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 554178681 + 834054400 = 23541^2 + 28880^2 .

It is not a de Polignac number, because 1388233081 - 21 = 1388233079 is a prime.

It is a super-2 number, since 2×13882330812 = 3854382174365505122, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1388233081.

It is not an unprimeable number, because it can be changed into a prime (1388233051) 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 26 ways as a sum of consecutive naturals, for example, 26193051 + ... + 26193103.

Almost surely, 21388233081 is an apocalyptic number.

1388233081 is the 37259-th square number.

1388233081 is the 18630-th centered octagonal number.

It is an amenable number.

1388233081 is a deficient number, since it is larger than the sum of its proper divisors (146526740).

1388233081 is an frugal number, since it uses more digits than its factorization.

1388233081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The cubic root of 1388233081 is about 1115.5459480595.

The spelling of 1388233081 in words is "one billion, three hundred eighty-eight million, two hundred thirty-three thousand, eighty-one".

Divisors: 1 19 37 53 361 703 1007 1369 1961 2809 13357 19133 26011 37259 53371 72557 103933 494209 707921 1014049 1378583 1974727 3845521 26193077 37519813 73064899 1388233081