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42756952 = 237839199
BaseRepresentation
bin1010001100011…
…0101101011000
32222110021111211
42203012231120
541421210302
64124232504
71026266560
oct243065530
988407454
1042756952
1122153a27
121239b734
138b20694
14596dda0
153b48ad7
hex28c6b58

42756952 has 32 divisors (see below), whose sum is σ = 92736000. Its totient is φ = 18101664.

The previous prime is 42756947. The next prime is 42756953. The reversal of 42756952 is 25965724.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42756953) 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, 49 + ... + 9247.

It is an arithmetic number, because the mean of its divisors is an integer number (2898000).

Almost surely, 242756952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42756952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46368000).

42756952 is an abundant number, since it is smaller than the sum of its proper divisors (49979048).

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

42756952 is a wasteful number, since it uses less digits than its factorization.

42756952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9295 (or 9291 counting only the distinct ones).

The product of its digits is 151200, while the sum is 40.

The square root of 42756952 is about 6538.8800264265. The cubic root of 42756952 is about 349.6784856958.

The spelling of 42756952 in words is "forty-two million, seven hundred fifty-six thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 14 28 56 83 166 332 581 664 1162 2324 4648 9199 18398 36796 64393 73592 128786 257572 515144 763517 1527034 3054068 5344619 6108136 10689238 21378476 42756952