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42238900 = 225211194347
BaseRepresentation
bin1010000100100…
…0001110110100
32221110221212201
42201020032310
541303121100
64105154244
71022011324
oct241101664
987427781
1042238900
112192a790
121218b984
13899b942
145877284
153a9536a
hex28483b4

42238900 has 144 divisors (see below), whose sum is σ = 109992960. Its totient is φ = 13910400.

The previous prime is 42238891. The next prime is 42238913. The reversal of 42238900 is 983224.

It is a congruent number.

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, 898677 + ... + 898723.

It is an arithmetic number, because the mean of its divisors is an integer number (763840).

Almost surely, 242238900 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 42238900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54996480).

42238900 is an abundant number, since it is smaller than the sum of its proper divisors (67754060).

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

42238900 is a wasteful number, since it uses less digits than its factorization.

42238900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 42238900 is about 6499.1460977578. The cubic root of 42238900 is about 348.2604845000.

The spelling of 42238900 in words is "forty-two million, two hundred thirty-eight thousand, nine hundred".

Divisors: 1 2 4 5 10 11 19 20 22 25 38 43 44 47 50 55 76 86 94 95 100 110 172 188 190 209 215 220 235 275 380 418 430 470 473 475 517 550 817 836 860 893 940 946 950 1034 1045 1075 1100 1175 1634 1786 1892 1900 2021 2068 2090 2150 2350 2365 2585 3268 3572 4042 4085 4180 4300 4465 4700 4730 5170 5225 8084 8170 8930 8987 9460 9823 10105 10340 10450 11825 12925 16340 17860 17974 19646 20210 20425 20900 22231 22325 23650 25850 35948 38399 39292 40420 40850 44462 44650 44935 47300 49115 50525 51700 76798 81700 88924 89300 89870 98230 101050 111155 153596 179740 191995 196460 202100 222310 224675 245575 383990 422389 444620 449350 491150 555775 767980 844778 898700 959975 982300 1111550 1689556 1919950 2111945 2223100 3839900 4223890 8447780 10559725 21119450 42238900