Search a number
-
+
42326100 = 223252131359
BaseRepresentation
bin1010000101110…
…1100001010100
32221122101111100
42201131201110
541313413400
64111110100
71022523465
oct241354124
987571440
1042326100
112198a253
1212212330
1389cc53b
14589ad6c
153ab1100
hex285d854

42326100 has 108 divisors (see below), whose sum is σ = 134053920. Its totient is φ = 11169600.

The previous prime is 42326083. The next prime is 42326149. The reversal of 42326100 is 162324.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 117721 + ... + 118079.

It is an arithmetic number, because the mean of its divisors is an integer number (1241240).

Almost surely, 242326100 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 42326100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67026960).

42326100 is an abundant number, since it is smaller than the sum of its proper divisors (91727820).

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

42326100 is a wasteful number, since it uses less digits than its factorization.

42326100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 42326100 is about 6505.8512125624. The cubic root of 42326100 is about 348.4999749559.

Adding to 42326100 its reverse (162324), we get a palindrome (42488424).

The spelling of 42326100 in words is "forty-two million, three hundred twenty-six thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 131 150 180 225 262 300 359 393 450 524 655 718 786 900 1077 1179 1310 1436 1572 1795 1965 2154 2358 2620 3231 3275 3590 3930 4308 4716 5385 5895 6462 6550 7180 7860 8975 9825 10770 11790 12924 13100 16155 17950 19650 21540 23580 26925 29475 32310 35900 39300 47029 53850 58950 64620 80775 94058 107700 117900 141087 161550 188116 235145 282174 323100 423261 470290 564348 705435 846522 940580 1175725 1410870 1693044 2116305 2351450 2821740 3527175 4232610 4702900 7054350 8465220 10581525 14108700 21163050 42326100