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42645952 = 26897487
BaseRepresentation
bin1010001010101…
…1100111000000
32222020122020201
42202223213000
541404132302
64122014544
71025325136
oct242534700
988218221
1042645952
1122088598
1212347454
138ab1cbb
145941756
153b25c87
hex28ab9c0

42645952 has 28 divisors (see below), whose sum is σ = 85587840. Its totient is φ = 21080576.

The previous prime is 42645947. The next prime is 42645959. The reversal of 42645952 is 25954624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42645959) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1953 + ... + 9439.

Almost surely, 242645952 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 42645952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42793920).

42645952 is an abundant number, since it is smaller than the sum of its proper divisors (42941888).

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

42645952 is an equidigital number, since it uses as much as digits as its factorization.

42645952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7588 (or 7578 counting only the distinct ones).

The product of its digits is 86400, while the sum is 37.

The square root of 42645952 is about 6530.3868185583. The cubic root of 42645952 is about 349.3756269650.

The spelling of 42645952 in words is "forty-two million, six hundred forty-five thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 16 32 64 89 178 356 712 1424 2848 5696 7487 14974 29948 59896 119792 239584 479168 666343 1332686 2665372 5330744 10661488 21322976 42645952