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5008300 = 22521129157
BaseRepresentation
bin10011000110101110101100
3100102110002121
4103012232230
52240231200
6255202324
760366313
oct23065654
910373077
105008300
1129108a0
1218163a4
1310647bb
1494527a
1568de1a
hex4c6bac

5008300 has 72 divisors (see below), whose sum is σ = 12342960. Its totient is φ = 1747200.

The previous prime is 5008291. The next prime is 5008369. The reversal of 5008300 is 38005.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31822 + ... + 31978.

It is an arithmetic number, because the mean of its divisors is an integer number (171430).

Almost surely, 25008300 is an apocalyptic number.

5008300 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 5008300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6171480).

5008300 is an abundant number, since it is smaller than the sum of its proper divisors (7334660).

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

5008300 is a wasteful number, since it uses less digits than its factorization.

5008300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 5008300 is about 2237.9231443461. The cubic root of 5008300 is about 171.0921610293.

The spelling of 5008300 in words is "five million, eight thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 29 44 50 55 58 100 110 116 145 157 220 275 290 314 319 550 580 628 638 725 785 1100 1276 1450 1570 1595 1727 2900 3140 3190 3454 3925 4553 6380 6908 7850 7975 8635 9106 15700 15950 17270 18212 22765 31900 34540 43175 45530 50083 86350 91060 100166 113825 172700 200332 227650 250415 455300 500830 1001660 1252075 2504150 5008300