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1438545940 = 2251337229653
BaseRepresentation
bin101010110111110…
…0111100000010100
310201020212201001021
41111233213200110
510421231432230
6354425010524
750435303326
oct12557474024
93636781037
101438545940
11679026947
12341923a44
1319c056520
14d90a7616
158645ac7a
hex55be7814

1438545940 has 96 divisors (see below), whose sum is σ = 3360984480. Its totient is φ = 513755136.

The previous prime is 1438545937. The next prime is 1438545949. The reversal of 1438545940 is 495458341.

It can be written as a sum of positive squares in 16 ways, for example, as 135769104 + 1302776836 = 11652^2 + 36094^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1438545949) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2202654 + ... + 2203306.

It is an arithmetic number, because the mean of its divisors is an integer number (35010255).

Almost surely, 21438545940 is an apocalyptic number.

1438545940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1438545940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1680492240).

1438545940 is an abundant number, since it is smaller than the sum of its proper divisors (1922438540).

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

1438545940 is a wasteful number, since it uses less digits than its factorization.

1438545940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 941 (or 939 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 43.

The square root of 1438545940 is about 37928.1681603528. The cubic root of 1438545940 is about 1128.8630169718.

The spelling of 1438545940 in words is "one billion, four hundred thirty-eight million, five hundred forty-five thousand, nine hundred forty".

Divisors: 1 2 4 5 10 13 20 26 37 52 65 74 130 148 185 229 260 370 458 481 653 740 916 962 1145 1306 1924 2290 2405 2612 2977 3265 4580 4810 5954 6530 8473 8489 9620 11908 13060 14885 16946 16978 24161 29770 33892 33956 42365 42445 48322 59540 84730 84890 96644 110149 120805 149537 169460 169780 220298 241610 299074 314093 440596 483220 550745 598148 628186 747685 1101490 1256372 1495370 1570465 1943981 2202980 2990740 3140930 3887962 5532869 6281860 7775924 9719905 11065738 19439810 22131476 27664345 38879620 55328690 71927297 110657380 143854594 287709188 359636485 719272970 1438545940