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42320000 = 2754232
BaseRepresentation
bin1010000101110…
…0000010000000
32221122002010102
42201130002000
541313220000
64111021532
71022466632
oct241340200
987562112
1042320000
1121985708
121220a8a8
1389c9828
145898a52
153aae3d5
hex285c080

42320000 has 120 divisors (see below), whose sum is σ = 110132715. Its totient is φ = 16192000.

The previous prime is 42319993. The next prime is 42320009. The reversal of 42320000 is 2324.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 9784384 + 32535616 = 3128^2 + 5704^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=4600.

It is not an unprimeable number, because it can be changed into a prime (42320009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1839989 + ... + 1840011.

Almost surely, 242320000 is an apocalyptic number.

42320000 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 42320000

42320000 is an abundant number, since it is smaller than the sum of its proper divisors (67812715).

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

42320000 is an frugal number, since it uses more digits than its factorization.

42320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 11.

The square root of 42320000 is about 6505.3823869162. The cubic root of 42320000 is about 348.4832323157.

Adding to 42320000 its reverse (2324), we get a palindrome (42322324).

The spelling of 42320000 in words is "forty-two million, three hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 32 40 46 50 64 80 92 100 115 125 128 160 184 200 230 250 320 368 400 460 500 529 575 625 640 736 800 920 1000 1058 1150 1250 1472 1600 1840 2000 2116 2300 2500 2645 2875 2944 3200 3680 4000 4232 4600 5000 5290 5750 7360 8000 8464 9200 10000 10580 11500 13225 14375 14720 16000 16928 18400 20000 21160 23000 26450 28750 33856 36800 40000 42320 46000 52900 57500 66125 67712 73600 80000 84640 92000 105800 115000 132250 169280 184000 211600 230000 264500 330625 338560 368000 423200 460000 529000 661250 846400 920000 1058000 1322500 1692800 1840000 2116000 2645000 4232000 5290000 8464000 10580000 21160000 42320000