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42971040 = 253357329
BaseRepresentation
bin1010001111101…
…0111110100000
32222212011012000
42203322332200
542000033130
64133004000
71031151000
oct243727640
988764160
1042971040
112228a862
1212483600
138b96c68
1459c8000
153b8c260
hex28fafa0

42971040 has 384 divisors, whose sum is σ = 181440000. Its totient is φ = 9483264.

The previous prime is 42971039. The next prime is 42971041. The reversal of 42971040 is 4017924.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (42971039) and next prime (42971041).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 42970995 and 42971013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42971041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1481746 + ... + 1481774.

It is an arithmetic number, because the mean of its divisors is an integer number (472500).

Almost surely, 242971040 is an apocalyptic number.

42971040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42971040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90720000).

42971040 is an abundant number, since it is smaller than the sum of its proper divisors (138468960).

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

42971040 is a wasteful number, since it uses less digits than its factorization.

42971040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 42971040 is about 6555.2299730826. The cubic root of 42971040 is about 350.2611384469.

Adding to 42971040 its reverse (4017924), we get a palindrome (46988964).

The spelling of 42971040 in words is "forty-two million, nine hundred seventy-one thousand, forty".