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42720032 = 254132561
BaseRepresentation
bin1010001011110…
…1101100100000
32222101101212102
42202331230200
541414020112
64123345532
71026054125
oct242755440
988341772
1042720032
1122129213
12123822a8
138b09934
14596074c
153b3cbc2
hex28bdb20

42720032 has 24 divisors (see below), whose sum is σ = 86159052. Its totient is φ = 20838400.

The previous prime is 42720019. The next prime is 42720049. The reversal of 42720032 is 23002724.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 41938576 + 781456 = 6476^2 + 884^2 .

It is a super-2 number, since 2×427200322 = 3650002268162048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42719986 and 42720013.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14969 + ... + 17592.

Almost surely, 242720032 is an apocalyptic number.

It is an amenable number.

42720032 is an abundant number, since it is smaller than the sum of its proper divisors (43439020).

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

42720032 is a wasteful number, since it uses less digits than its factorization.

42720032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32612 (or 32604 counting only the distinct ones).

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

The square root of 42720032 is about 6536.0563033071. The cubic root of 42720032 is about 349.5778093007.

Adding to 42720032 its reverse (23002724), we get a palindrome (65722756).

The spelling of 42720032 in words is "forty-two million, seven hundred twenty thousand, thirty-two".

Divisors: 1 2 4 8 16 32 41 82 164 328 656 1312 32561 65122 130244 260488 520976 1041952 1335001 2670002 5340004 10680008 21360016 42720032