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1438748064 = 2532132511531
BaseRepresentation
bin101010111000001…
…1000110110100000
310201021020222022100
41111300120312200
510421304414224
6354433210400
750440104525
oct12560306640
93637228270
101438748064
11679154796
12341a00a00
1319c0c7520
14d911b14c
158649aac9
hex55c18da0

1438748064 has 144 divisors (see below), whose sum is σ = 4426609824. Its totient is φ = 440640000.

The previous prime is 1438748041. The next prime is 1438748081. The reversal of 1438748064 is 4608478341.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 938979 + ... + 940509.

It is an arithmetic number, because the mean of its divisors is an integer number (30740346).

Almost surely, 21438748064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1438748064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2213304912).

1438748064 is an abundant number, since it is smaller than the sum of its proper divisors (2987861760).

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

1438748064 is a wasteful number, since it uses less digits than its factorization.

1438748064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1811 (or 1800 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 1438748064 is about 37930.8326299331. The cubic root of 1438748064 is about 1128.9158850836.

The spelling of 1438748064 in words is "one billion, four hundred thirty-eight million, seven hundred forty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 251 288 312 416 468 502 624 753 936 1004 1248 1506 1531 1872 2008 2259 3012 3062 3263 3744 4016 4518 4593 6024 6124 6526 8032 9036 9186 9789 12048 12248 13052 13779 18072 18372 19578 19903 24096 24496 26104 27558 29367 36144 36744 39156 39806 48992 52208 55116 58734 59709 72288 73488 78312 79612 104416 110232 117468 119418 146976 156624 159224 179127 220464 234936 238836 313248 318448 358254 384281 440928 469872 477672 636896 716508 768562 939744 955344 1152843 1433016 1537124 1910688 2305686 2866032 3074248 3458529 4611372 4995653 5732064 6148496 6917058 9222744 9991306 12296992 13834116 14986959 18445488 19982612 27668232 29973918 36890976 39965224 44960877 55336464 59947836 79930448 89921754 110672928 119895672 159860896 179843508 239791344 359687016 479582688 719374032 1438748064