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42331300 = 225211291327
BaseRepresentation
bin1010000101111…
…0110010100100
32221122122121221
42201132302210
541314100200
64111150124
71022544604
oct241366244
987578557
1042331300
1121993150
1212215344
138a01a0b
14589cc04
153ab291a
hex285eca4

42331300 has 72 divisors (see below), whose sum is σ = 103743360. Its totient is φ = 14851200.

The previous prime is 42331291. The next prime is 42331301. The reversal of 42331300 is 313324.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42331301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31237 + ... + 32563.

It is an arithmetic number, because the mean of its divisors is an integer number (1440880).

Almost surely, 242331300 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 42331300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51871680).

42331300 is an abundant number, since it is smaller than the sum of its proper divisors (61412060).

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

42331300 is a wasteful number, since it uses less digits than its factorization.

42331300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1381 (or 1374 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 42331300 is about 6506.2508405379. The cubic root of 42331300 is about 348.5142461003.

Adding to 42331300 its reverse (313324), we get a palindrome (42644624).

The spelling of 42331300 in words is "forty-two million, three hundred thirty-one thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 29 44 50 55 58 100 110 116 145 220 275 290 319 550 580 638 725 1100 1276 1327 1450 1595 2654 2900 3190 5308 6380 6635 7975 13270 14597 15950 26540 29194 31900 33175 38483 58388 66350 72985 76966 132700 145970 153932 192415 291940 364925 384830 423313 729850 769660 846626 962075 1459700 1693252 1924150 2116565 3848300 4233130 8466260 10582825 21165650 42331300