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42311500 = 22537211157
BaseRepresentation
bin1010000101100…
…1111101001100
32221121122110121
42201121331030
541312432000
64110514324
71022433100
oct241317514
987548417
1042311500
112197a290
12122059a4
1389c59ba
145895900
153aabb1a
hex2859f4c

42311500 has 144 divisors (see below), whose sum is σ = 118014624. Its totient is φ = 13104000.

The previous prime is 42311471. The next prime is 42311519. The reversal of 42311500 is 511324.

42311500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 269422 + ... + 269578.

It is an arithmetic number, because the mean of its divisors is an integer number (819546).

Almost surely, 242311500 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 42311500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59007312).

42311500 is an abundant number, since it is smaller than the sum of its proper divisors (75703124).

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

42311500 is a wasteful number, since it uses less digits than its factorization.

42311500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 182 counting only the distinct ones).

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

The square root of 42311500 is about 6504.7290489305. The cubic root of 42311500 is about 348.4598997243.

Adding to 42311500 its reverse (511324), we get a palindrome (42822824).

The spelling of 42311500 in words is "forty-two million, three hundred eleven thousand, five hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 49 50 55 70 77 98 100 110 125 140 154 157 175 196 220 245 250 275 308 314 350 385 490 500 539 550 628 700 770 785 875 980 1078 1099 1100 1225 1375 1540 1570 1727 1750 1925 2156 2198 2450 2695 2750 3140 3454 3500 3850 3925 4396 4900 5390 5495 5500 6125 6908 7693 7700 7850 8635 9625 10780 10990 12089 12250 13475 15386 15700 17270 19250 19625 21980 24178 24500 26950 27475 30772 34540 38465 38500 39250 43175 48356 53900 54950 60445 67375 76930 78500 84623 86350 109900 120890 134750 137375 153860 169246 172700 192325 215875 241780 269500 274750 302225 338492 384650 423115 431750 549500 604450 769300 846230 863500 961625 1208900 1511125 1692460 1923250 2115575 3022250 3846500 4231150 6044500 8462300 10577875 21155750 42311500