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42316000 = 255371149
BaseRepresentation
bin1010000101101…
…1000011100000
32221121212122021
42201123003200
541313103000
64110551224
71022452156
oct241330340
987555567
1042316000
1121982701
1212208514
1389c7a6c
1458973d6
153aad11a
hex285b0e0

42316000 has 96 divisors (see below), whose sum is σ = 106142400. Its totient is φ = 16576000.

The previous prime is 42315997. The next prime is 42316007. The reversal of 42316000 is 61324.

42316000 = 1312 + 1322 + ... + 5052.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42316007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 283926 + ... + 284074.

It is an arithmetic number, because the mean of its divisors is an integer number (1105650).

Almost surely, 242316000 is an apocalyptic number.

42316000 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 42316000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53071200).

42316000 is an abundant number, since it is smaller than the sum of its proper divisors (63826400).

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

42316000 is a wasteful number, since it uses less digits than its factorization.

42316000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 42316000 is about 6505.0749419203. The cubic root of 42316000 is about 348.4722526619.

Adding to 42316000 its reverse (61324), we get a palindrome (42377324).

The spelling of 42316000 in words is "forty-two million, three hundred sixteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 71 80 100 125 142 149 160 200 250 284 298 355 400 500 568 596 710 745 800 1000 1136 1192 1420 1490 1775 2000 2272 2384 2840 2980 3550 3725 4000 4768 5680 5960 7100 7450 8875 10579 11360 11920 14200 14900 17750 18625 21158 23840 28400 29800 35500 37250 42316 52895 56800 59600 71000 74500 84632 105790 119200 142000 149000 169264 211580 264475 284000 298000 338528 423160 528950 596000 846320 1057900 1322375 1692640 2115800 2644750 4231600 5289500 8463200 10579000 21158000 42316000