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5438741840 = 245741236879
BaseRepresentation
bin1010001000010110…
…01001110101010000
3112001000221201012222
411010023021311100
542114304214330
62255403040212
7251530354130
oct50413116520
915030851188
105438741840
112341034274
121079510068
13688a1614c
1439846cac0
1521c71e0e5
hex1442c9d50

5438741840 has 80 divisors (see below), whose sum is σ = 14804052480. Its totient is φ = 1819223040.

The previous prime is 5438741831. The next prime is 5438741843. The reversal of 5438741840 is 481478345.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 5438741791 and 5438741800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5438741843) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 95480 + ... + 141399.

It is an arithmetic number, because the mean of its divisors is an integer number (185050656).

Almost surely, 25438741840 is an apocalyptic number.

It is an amenable number.

5438741840 is an abundant number, since it is smaller than the sum of its proper divisors (9365310640).

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

5438741840 is a wasteful number, since it uses less digits than its factorization.

5438741840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236940 (or 236934 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 44.

The square root of 5438741840 is about 73747.8260018558. The cubic root of 5438741840 is about 1758.5962722518.

The spelling of 5438741840 in words is "five billion, four hundred thirty-eight million, seven hundred forty-one thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 41 56 70 80 82 112 140 164 205 280 287 328 410 560 574 656 820 1148 1435 1640 2296 2870 3280 4592 5740 11480 22960 236879 473758 947516 1184395 1658153 1895032 2368790 3316306 3790064 4737580 6632612 8290765 9475160 9712039 13265224 16581530 18950320 19424078 26530448 33163060 38848156 48560195 66326120 67984273 77696312 97120390 132652240 135968546 155392624 194240780 271937092 339921365 388481560 543874184 679842730 776963120 1087748368 1359685460 2719370920 5438741840