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42250000 = 2456132
BaseRepresentation
bin1010000100101…
…0111100010000
32221111112002211
42201022330100
541304000000
64105321504
71022055562
oct241127420
987445084
1042250000
1121938061
1212196294
1389a3a00
14587b332
153a987ba
hex284af10

42250000 has 105 divisors (see below), whose sum is σ = 110799363. Its totient is φ = 15600000.

The previous prime is 42249997. The next prime is 42250009. The reversal of 42250000 is 5224.

It is a happy number.

The square root of 42250000 is 6500.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 10 ways, for example, as 19820304 + 22429696 = 4452^2 + 4736^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42250009) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 3249994 + ... + 3250006.

Almost surely, 242250000 is an apocalyptic number.

42250000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

42250000 is the 6500-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42250000

42250000 is an abundant number, since it is smaller than the sum of its proper divisors (68549363).

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

42250000 is an frugal number, since it uses more digits than its factorization.

42250000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 20 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 13.

The cubic root of 42250000 is about 348.2909883941.

Adding to 42250000 its reverse (5224), we get a palindrome (42255224).

It can be divided in two parts, 4 and 2250000, that multiplied together give a square (9000000 = 30002).

The spelling of 42250000 in words is "forty-two million, two hundred fifty thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 125 130 169 200 208 250 260 325 338 400 500 520 625 650 676 845 1000 1040 1250 1300 1352 1625 1690 2000 2500 2600 2704 3125 3250 3380 4225 5000 5200 6250 6500 6760 8125 8450 10000 12500 13000 13520 15625 16250 16900 21125 25000 26000 31250 32500 33800 40625 42250 50000 62500 65000 67600 81250 84500 105625 125000 130000 162500 169000 203125 211250 250000 325000 338000 406250 422500 528125 650000 812500 845000 1056250 1625000 1690000 2112500 2640625 3250000 4225000 5281250 8450000 10562500 21125000 42250000