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42313000 = 23531719131
BaseRepresentation
bin1010000101101…
…0010100101000
32221121201112011
42201122110220
541313004000
64110525304
71022440342
oct241322450
987551464
1042313000
1121980424
1212206834
1389c65a2
145896292
153aac2ba
hex285a528

42313000 has 128 divisors (see below), whose sum is σ = 111196800. Its totient is φ = 14976000.

The previous prime is 42312961. The next prime is 42313013. The reversal of 42313000 is 31324.

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, 322935 + ... + 323065.

It is an arithmetic number, because the mean of its divisors is an integer number (868725).

Almost surely, 242313000 is an apocalyptic number.

42313000 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 42313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55598400).

42313000 is an abundant number, since it is smaller than the sum of its proper divisors (68883800).

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

42313000 is a wasteful number, since it uses less digits than its factorization.

42313000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 42313000 is about 6504.8443486374. The cubic root of 42313000 is about 348.4640174675.

Adding to 42313000 its reverse (31324), we get a palindrome (42344324).

The spelling of 42313000 in words is "forty-two million, three hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 17 19 20 25 34 38 40 50 68 76 85 95 100 125 131 136 152 170 190 200 250 262 323 340 380 425 475 500 524 646 655 680 760 850 950 1000 1048 1292 1310 1615 1700 1900 2125 2227 2375 2489 2584 2620 3230 3275 3400 3800 4250 4454 4750 4978 5240 6460 6550 8075 8500 8908 9500 9956 11135 12445 12920 13100 16150 16375 17000 17816 19000 19912 22270 24890 26200 32300 32750 40375 42313 44540 49780 55675 62225 64600 65500 80750 84626 89080 99560 111350 124450 131000 161500 169252 211565 222700 248900 278375 311125 323000 338504 423130 445400 497800 556750 622250 846260 1057825 1113500 1244500 1692520 2115650 2227000 2489000 4231300 5289125 8462600 10578250 21156500 42313000