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42087968 = 2513101173
BaseRepresentation
bin1010000010001…
…1011000100000
32221012021211122
42200203120200
541233303333
64102031412
71020512306
oct240433040
987167748
1042087968
112183734a
1212118568
138948030
145838276
153a65798
hex2823620

42087968 has 24 divisors (see below), whose sum is σ = 89235468. Its totient is φ = 19425024.

The previous prime is 42087919. The next prime is 42088003. The reversal of 42087968 is 86978024.

It can be written as a sum of positive squares in 2 ways, for example, as 40806544 + 1281424 = 6388^2 + 1132^2 .

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, 50171 + ... + 51002.

Almost surely, 242087968 is an apocalyptic number.

It is an amenable number.

42087968 is an abundant number, since it is smaller than the sum of its proper divisors (47147500).

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

42087968 is a wasteful number, since it uses less digits than its factorization.

42087968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101196 (or 101188 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 44.

The square root of 42087968 is about 6487.5240269305. The cubic root of 42087968 is about 347.8451770899.

It can be divided in two parts, 420 and 87968, that added together give a palindrome (88388).

The spelling of 42087968 in words is "forty-two million, eighty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 101173 202346 404692 809384 1315249 1618768 2630498 3237536 5260996 10521992 21043984 42087968