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1993439500 = 225313231761
BaseRepresentation
bin111011011010001…
…0111100100001100
312010221000012220121
41312310113210030
513040310031000
6525450154324
7100253645653
oct16664274414
95127005817
101993439500
11933276668
124777229a4
13259cbb200
1414ca6c19a
15ba018b1a
hex76d1790c

1993439500 has 144 divisors (see below), whose sum is σ = 4872801024. Its totient is φ = 711360000.

The previous prime is 1993439479. The next prime is 1993439521. The reversal of 1993439500 is 59343991.

It is an interprime number because it is at equal distance from previous prime (1993439479) and next prime (1993439521).

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, 2619120 + ... + 2619880.

It is an arithmetic number, because the mean of its divisors is an integer number (33838896).

Almost surely, 21993439500 is an apocalyptic number.

1993439500 is a gapful number since it is divisible by the number (10) 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 1993439500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2436400512).

1993439500 is an abundant number, since it is smaller than the sum of its proper divisors (2879361524).

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

1993439500 is a wasteful number, since it uses less digits than its factorization.

1993439500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 837 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 131220, while the sum is 43.

The square root of 1993439500 is about 44647.9506808543. The cubic root of 1993439500 is about 1258.5419221580.

The spelling of 1993439500 in words is "one billion, nine hundred ninety-three million, four hundred thirty-nine thousand, five hundred".

Divisors: 1 2 4 5 10 13 20 25 26 31 50 52 62 65 100 124 125 130 155 169 250 260 310 325 338 403 500 620 650 676 761 775 806 845 1300 1522 1550 1612 1625 1690 2015 3044 3100 3250 3380 3805 3875 4030 4225 5239 6500 7610 7750 8060 8450 9893 10075 10478 15220 15500 16900 19025 19786 20150 20956 21125 23591 26195 38050 39572 40300 42250 47182 49465 50375 52390 76100 84500 94364 95125 98930 100750 104780 117955 128609 130975 190250 197860 201500 235910 247325 257218 261950 306683 380500 471820 494650 514436 523900 589775 613366 643045 654875 989300 1179550 1226732 1236625 1286090 1309750 1533415 2359100 2473250 2572180 2619500 2948875 3066830 3215225 3986879 4946500 5897750 6133660 6430450 7667075 7973758 11795500 12860900 15334150 15947516 16076125 19934395 30668300 32152250 38335375 39868790 64304500 76670750 79737580 99671975 153341500 199343950 398687900 498359875 996719750 1993439500