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42023072 = 2571314431
BaseRepresentation
bin1010000001001…
…1100010100000
32221001222211002
42200103202200
541224214242
64100411132
71020122150
oct240234240
987058732
1042023072
11217a2613
12120a6aa8
138924630
14581c760
153a51432
hex28138a0

42023072 has 48 divisors (see below), whose sum is σ = 101832192. Its totient is φ = 16623360.

The previous prime is 42023071. The next prime is 42023077. The reversal of 42023072 is 27032024.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (42023071) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4304 + ... + 10127.

It is an arithmetic number, because the mean of its divisors is an integer number (2121504).

Almost surely, 242023072 is an apocalyptic number.

It is an amenable number.

42023072 is an abundant number, since it is smaller than the sum of its proper divisors (59809120).

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

42023072 is a wasteful number, since it uses less digits than its factorization.

42023072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14461 (or 14453 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 20.

The square root of 42023072 is about 6482.5204974608. The cubic root of 42023072 is about 347.6663027473. Note that the first 3 decimals are identical.

Adding to 42023072 its reverse (27032024), we get a palindrome (69055096).

The spelling of 42023072 in words is "forty-two million, twenty-three thousand, seventy-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 182 208 224 364 416 728 1456 2912 14431 28862 57724 101017 115448 187603 202034 230896 375206 404068 461792 750412 808136 1313221 1500824 1616272 2626442 3001648 3232544 5252884 6003296 10505768 21011536 42023072