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42321500 = 22531317383
BaseRepresentation
bin1010000101110…
…0011001011100
32221122011011222
42201130121130
541313242000
64111032512
71022504204
oct241343134
987564158
1042321500
1121986851
121220b738
1389ca410
145899404
153aaea85
hex285c65c

42321500 has 96 divisors (see below), whose sum is σ = 105670656. Its totient is φ = 14668800.

The previous prime is 42321491. The next prime is 42321511. The reversal of 42321500 is 512324.

It is a super-2 number, since 2×423215002 = 3582218724500000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

42321500 is a Rhonda number in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 110309 + ... + 110691.

It is an arithmetic number, because the mean of its divisors is an integer number (1100736).

Almost surely, 242321500 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 42321500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52835328).

42321500 is an abundant number, since it is smaller than the sum of its proper divisors (63349156).

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

42321500 is a wasteful number, since it uses less digits than its factorization.

42321500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 42321500 is about 6505.4976750438. The cubic root of 42321500 is about 348.4873495076.

Adding to 42321500 its reverse (512324), we get a palindrome (42833824).

The spelling of 42321500 in words is "forty-two million, three hundred twenty-one thousand, five hundred".

Divisors: 1 2 4 5 10 13 17 20 25 26 34 50 52 65 68 85 100 125 130 170 221 250 260 325 340 383 425 442 500 650 766 850 884 1105 1300 1532 1625 1700 1915 2125 2210 3250 3830 4250 4420 4979 5525 6500 6511 7660 8500 9575 9958 11050 13022 19150 19916 22100 24895 26044 27625 32555 38300 47875 49790 55250 65110 84643 95750 99580 110500 124475 130220 162775 169286 191500 248950 325550 338572 423215 497900 622375 651100 813875 846430 1244750 1627750 1692860 2116075 2489500 3255500 4232150 8464300 10580375 21160750 42321500