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42088024 = 2311478273
BaseRepresentation
bin1010000010001…
…1011001011000
32221012021220201
42200203121120
541233304044
64102031544
71020512416
oct240433130
987167821
1042088024
11218373a0
12121185b4
138948074
1458382b6
153a657d4
hex2823658

42088024 has 16 divisors (see below), whose sum is σ = 86089320. Its totient is φ = 19130880.

The previous prime is 42088003. The next prime is 42088027.

42088024 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 42087983 and 42088001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42088027) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 239049 + ... + 239224.

Almost surely, 242088024 is an apocalyptic number.

42088024 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42088024 is an abundant number, since it is smaller than the sum of its proper divisors (44001296).

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

42088024 is a wasteful number, since it uses less digits than its factorization.

42088024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478290 (or 478286 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

The square root of 42088024 is about 6487.5283429053. The cubic root of 42088024 is about 347.8453313646.

The spelling of 42088024 in words is "forty-two million, eighty-eight thousand, twenty-four".

Divisors: 1 2 4 8 11 22 44 88 478273 956546 1913092 3826184 5261003 10522006 21044012 42088024