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5438715300 = 22335211871697
BaseRepresentation
bin1010001000010110…
…00011010110100100
3112001000220100211000
411010023003112210
542114302342200
62255402313300
7251530213554
oct50413032644
915030810730
105438715300
112341016337
1210794b8830
13688a07045
14398463164
1521c716300
hex1442c35a4

5438715300 has 144 divisors (see below), whose sum is σ = 17509504320. Its totient is φ = 1448248320.

The previous prime is 5438715253. The next prime is 5438715311. The reversal of 5438715300 is 35178345.

5438715300 is a `hidden beast` number, since 5 + 43 + 87 + 1 + 530 + 0 = 666.

It is a super-2 number, since 2×54387153002 = 59159248228908180000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 3204052 + ... + 3205748.

It is an arithmetic number, because the mean of its divisors is an integer number (121593780).

Almost surely, 25438715300 is an apocalyptic number.

5438715300 is a gapful number since it is divisible by the number (50) 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 5438715300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8754752160).

5438715300 is an abundant number, since it is smaller than the sum of its proper divisors (12070789020).

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

5438715300 is a wasteful number, since it uses less digits than its factorization.

5438715300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2907 (or 2894 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 5438715300 is about 73747.6460641287. The cubic root of 5438715300 is about 1758.5934117115.

The spelling of 5438715300 in words is "five billion, four hundred thirty-eight million, seven hundred fifteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 270 300 450 540 675 900 1187 1350 1697 2374 2700 3394 3561 4748 5091 5935 6788 7122 8485 10182 10683 11870 14244 15273 16970 17805 20364 21366 23740 25455 29675 30546 32049 33940 35610 42425 42732 45819 50910 53415 59350 61092 64098 71220 76365 84850 89025 91638 101820 106830 118700 127275 128196 152730 160245 169700 178050 183276 213660 229095 254550 267075 305460 320490 356100 381825 458190 509100 534150 640980 763650 801225 916380 1068300 1145475 1527300 1602450 2014339 2290950 3204900 4028678 4581900 6043017 8057356 10071695 12086034 18129051 20143390 24172068 30215085 36258102 40286780 50358475 54387153 60430170 72516204 90645255 100716950 108774306 120860340 151075425 181290510 201433900 217548612 271935765 302150850 362581020 453226275 543871530 604301700 906452550 1087743060 1359678825 1812905100 2719357650 5438715300