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42311200 = 255252889
BaseRepresentation
bin1010000101100…
…1111000100000
32221121122001111
42201121320200
541312424300
64110513104
71022432161
oct241317040
987548044
1042311200
112197a038
1212205794
1389c5819
145895768
153aab9ba
hex2859e20

42311200 has 36 divisors (see below), whose sum is σ = 103294170. Its totient is φ = 16924160.

The previous prime is 42311189. The next prime is 42311207. The reversal of 42311200 is 211324.

It can be written as a sum of positive squares in 3 ways, for example, as 34715664 + 7595536 = 5892^2 + 2756^2 .

It is not an unprimeable number, because it can be changed into a prime (42311207) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 25645 + ... + 27244.

Almost surely, 242311200 is an apocalyptic number.

42311200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42311200 is an abundant number, since it is smaller than the sum of its proper divisors (60982970).

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

42311200 is a wasteful number, since it uses less digits than its factorization.

42311200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52909 (or 52896 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 42311200 is about 6504.7059887438. The cubic root of 42311200 is about 348.4590761640.

Adding to 42311200 its reverse (211324), we get a palindrome (42522524).

The spelling of 42311200 in words is "forty-two million, three hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 52889 105778 211556 264445 423112 528890 846224 1057780 1322225 1692448 2115560 2644450 4231120 5288900 8462240 10577800 21155600 42311200