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4938300 = 2233523159
BaseRepresentation
bin10010110101101000111100
3100021220002000
4102311220330
52231011200
6253502300
756655243
oct22655074
910256060
104938300
112873244
1217a1990
13103b993
1492795a
15678300
hex4b5a3c

4938300 has 144 divisors (see below), whose sum is σ = 16665600. Its totient is φ = 1252800.

The previous prime is 4938293. The next prime is 4938301. The reversal of 4938300 is 38394.

4938300 = T616 + T617 + ... + T640.

4938300 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4938301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 83671 + ... + 83729.

Almost surely, 24938300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4938300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8332800).

4938300 is an abundant number, since it is smaller than the sum of its proper divisors (11727300).

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

4938300 is a wasteful number, since it uses less digits than its factorization.

4938300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 4938300 is about 2222.2286111019. The cubic root of 4938300 is about 170.2913113668.

The spelling of 4938300 in words is "four million, nine hundred thirty-eight thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 31 36 45 50 54 59 60 62 75 90 93 100 108 118 124 135 150 155 177 180 186 225 236 270 279 295 300 310 354 372 450 465 531 540 558 590 620 675 708 775 837 885 900 930 1062 1116 1180 1350 1395 1475 1550 1593 1674 1770 1829 1860 2124 2325 2655 2700 2790 2950 3100 3186 3348 3540 3658 4185 4425 4650 5310 5487 5580 5900 6372 6975 7316 7965 8370 8850 9145 9300 10620 10974 13275 13950 15930 16461 16740 17700 18290 20925 21948 26550 27435 27900 31860 32922 36580 39825 41850 45725 49383 53100 54870 65844 79650 82305 83700 91450 98766 109740 137175 159300 164610 182900 197532 246915 274350 329220 411525 493830 548700 823050 987660 1234575 1646100 2469150 4938300