Search a number
-
+
42367000 = 2353133259
BaseRepresentation
bin1010000110011…
…1100000011000
32221201110121011
42201213200120
541321221000
64112023304
71023053644
oct241474030
987643534
1042367000
1121a07a55
1212231b34
138a15040
1458abc24
153abd2ba
hex2867818

42367000 has 64 divisors (see below), whose sum is σ = 106797600. Its totient is φ = 15638400.

The previous prime is 42366991. The next prime is 42367021. The reversal of 42367000 is 76324.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11371 + ... + 14629.

Almost surely, 242367000 is an apocalyptic number.

42367000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42367000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53398800).

42367000 is an abundant number, since it is smaller than the sum of its proper divisors (64430600).

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

42367000 is a wasteful number, since it uses less digits than its factorization.

42367000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3293 (or 3279 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 22.

The square root of 42367000 is about 6508.9937778431. The cubic root of 42367000 is about 348.6121914551.

It can be divided in two parts, 4236 and 7000, that added together give a square (11236 = 1062).

The spelling of 42367000 in words is "forty-two million, three hundred sixty-seven thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 200 250 260 325 500 520 650 1000 1300 1625 2600 3250 3259 6500 6518 13000 13036 16295 26072 32590 42367 65180 81475 84734 130360 162950 169468 211835 325900 338936 407375 423670 651800 814750 847340 1059175 1629500 1694680 2118350 3259000 4236700 5295875 8473400 10591750 21183500 42367000