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42971984 = 2411244159
BaseRepresentation
bin1010001111101…
…1001101010000
32222212012110222
42203323031100
542000100414
64133012212
71031153516
oct243731520
988765428
1042971984
1122290540
1212484068
138b97513
1459c84b6
153b8c68e
hex28fb350

42971984 has 20 divisors (see below), whose sum is σ = 90827520. Its totient is φ = 19532640.

The previous prime is 42971963. The next prime is 42972023. The reversal of 42971984 is 48917924.

42971984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 121904 + ... + 122255.

It is an arithmetic number, because the mean of its divisors is an integer number (4541376).

Almost surely, 242971984 is an apocalyptic number.

42971984 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42971984 is an abundant number, since it is smaller than the sum of its proper divisors (47855536).

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

42971984 is a wasteful number, since it uses less digits than its factorization.

42971984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244178 (or 244172 counting only the distinct ones).

The product of its digits is 145152, while the sum is 44.

The square root of 42971984 is about 6555.3019762632. The cubic root of 42971984 is about 350.2637033068.

The spelling of 42971984 in words is "forty-two million, nine hundred seventy-one thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 11 16 22 44 88 176 244159 488318 976636 1953272 2685749 3906544 5371498 10742996 21485992 42971984