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5830451900 = 22527133072087
BaseRepresentation
bin1010110111000010…
…11010001010111100
3120001100000122101222
411123201122022330
543420043430100
62402314452512
7264325011020
oct53341321274
916040018358
105830451900
112522157899
121168734138
1371bc14350
143d44b6380
15241ce6485
hex15b85a2bc

5830451900 has 144 divisors (see below), whose sum is σ = 15629999616. Its totient is φ = 1838350080.

The previous prime is 5830451899. The next prime is 5830451909. The reversal of 5830451900 is 91540385.

It is a super-2 number, since 2×58304519002 = 67988338716427220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5830451909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2792657 + ... + 2794743.

It is an arithmetic number, because the mean of its divisors is an integer number (108541664).

Almost surely, 25830451900 is an apocalyptic number.

5830451900 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 5830451900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7814999808).

5830451900 is an abundant number, since it is smaller than the sum of its proper divisors (9799547716).

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

5830451900 is a wasteful number, since it uses less digits than its factorization.

5830451900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2428 (or 2421 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 35.

The square root of 5830451900 is about 76357.3958434938. The cubic root of 5830451900 is about 1799.8407163579.

The spelling of 5830451900 in words is "five billion, eight hundred thirty million, four hundred fifty-one thousand, nine hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 50 52 65 70 91 100 130 140 175 182 260 307 325 350 364 455 614 650 700 910 1228 1300 1535 1820 2087 2149 2275 3070 3991 4174 4298 4550 6140 7675 7982 8348 8596 9100 10435 10745 14609 15350 15964 19955 20870 21490 27131 27937 29218 30700 39910 41740 42980 52175 53725 54262 55874 58436 73045 79820 99775 104350 107450 108524 111748 135655 139685 146090 189917 199550 208700 214900 271310 279370 292180 365225 379834 399100 542620 558740 640709 678275 698425 730450 759668 949585 1281418 1356550 1396850 1460900 1899170 2562836 2713100 2793700 3203545 3798340 4484963 4747925 6407090 8329217 8969926 9495850 12814180 16017725 16658434 17939852 18991700 22424815 32035450 33316868 41646085 44849630 58304519 64070900 83292170 89699260 112124075 116609038 166584340 208230425 224248150 233218076 291522595 416460850 448496300 583045190 832921700 1166090380 1457612975 2915225950 5830451900