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47964080 = 245599551
BaseRepresentation
bin1011011011110…
…1111110110000
310100020211100102
42312331332300
544234322310
64432011532
71121454653
oct266757660
9110224312
1047964080
112509013a
1214090ba8
139c24818
14652789a
1543268a5
hex2dbdfb0

47964080 has 20 divisors (see below), whose sum is σ = 111516672. Its totient is φ = 19185600.

The previous prime is 47964079. The next prime is 47964083. The reversal of 47964080 is 8046974.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (47964083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 299696 + ... + 299855.

Almost surely, 247964080 is an apocalyptic number.

47964080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47964080 is an abundant number, since it is smaller than the sum of its proper divisors (63552592).

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

47964080 is a wasteful number, since it uses less digits than its factorization.

47964080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599564 (or 599558 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The square root of 47964080 is about 6925.6104424087. The cubic root of 47964080 is about 363.3334418165. Note that the first 3 decimals are identical.

The spelling of 47964080 in words is "forty-seven million, nine hundred sixty-four thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 599551 1199102 2398204 2997755 4796408 5995510 9592816 11991020 23982040 47964080