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42317000 = 2353113847
BaseRepresentation
bin1010000101101…
…1010011001000
32221121221000022
42201123103020
541313121000
64111000012
71022455115
oct241332310
987557008
1042317000
1121983430
1212209008
1389c835b
14589790c
153aad585
hex285b4c8

42317000 has 64 divisors (see below), whose sum is σ = 108051840. Its totient is φ = 15384000.

The previous prime is 42316991. The next prime is 42317017. The reversal of 42317000 is 71324.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 42317000.

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 15 ways as a sum of consecutive naturals, for example, 9077 + ... + 12923.

It is an arithmetic number, because the mean of its divisors is an integer number (1688310).

Almost surely, 242317000 is an apocalyptic number.

42317000 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 42317000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54025920).

42317000 is an abundant number, since it is smaller than the sum of its proper divisors (65734840).

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

42317000 is a wasteful number, since it uses less digits than its factorization.

42317000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3879 (or 3865 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 17.

The square root of 42317000 is about 6505.1518045315. The cubic root of 42317000 is about 348.4749976402.

Adding to 42317000 its reverse (71324), we get a palindrome (42388324).

The spelling of 42317000 in words is "forty-two million, three hundred seventeen thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 1000 1100 1375 2200 2750 3847 5500 7694 11000 15388 19235 30776 38470 42317 76940 84634 96175 153880 169268 192350 211585 338536 384700 423170 480875 769400 846340 961750 1057925 1692680 1923500 2115850 3847000 4231700 5289625 8463400 10579250 21158500 42317000