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5348685300 = 2235275874339
BaseRepresentation
bin1001111101100111…
…00111010111110100
3111210202111100212120
410332303213113310
541423230412200
62242424515540
7246355034460
oct47663472764
914722440776
105348685300
1122a5214482
12105331bbb0
1367317455a
1438a5094a0
152148809a0
hex13ece75f4

5348685300 has 144 divisors (see below), whose sum is σ = 17720532480. Its totient is φ = 1220192640.

The previous prime is 5348685289. The next prime is 5348685319. The reversal of 5348685300 is 35868435.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1230531 + ... + 1234869.

Almost surely, 25348685300 is an apocalyptic number.

5348685300 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 5348685300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8860266240).

5348685300 is an abundant number, since it is smaller than the sum of its proper divisors (12371847180).

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

5348685300 is a wasteful number, since it uses less digits than its factorization.

5348685300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4950 (or 4943 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The square root of 5348685300 is about 73134.7065352696. The cubic root of 5348685300 is about 1748.8357208121.

The spelling of 5348685300 in words is "five billion, three hundred forty-eight million, six hundred eighty-five thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 587 700 1050 1174 1761 2100 2348 2935 3522 4109 4339 5870 7044 8218 8678 8805 11740 12327 13017 14675 16436 17356 17610 20545 21695 24654 26034 29350 30373 35220 41090 43390 44025 49308 52068 58700 60746 61635 65085 82180 86780 88050 91119 102725 108475 121492 123270 130170 151865 176100 182238 205450 216950 246540 260340 303730 308175 325425 364476 410900 433900 455595 607460 616350 650850 759325 911190 1232700 1301700 1518650 1822380 2277975 2546993 3037300 4555950 5093986 7640979 9111900 10187972 12734965 15281958 17828951 25469930 30563916 35657902 38204895 50939860 53486853 63674825 71315804 76409790 89144755 106973706 127349650 152819580 178289510 191024475 213947412 254699300 267434265 356579020 382048950 445723775 534868530 764097900 891447550 1069737060 1337171325 1782895100 2674342650 5348685300