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47971980 = 223357437
BaseRepresentation
bin1011011011111…
…1111010001100
310100021020012000
42312333322030
544240100410
64432112300
71121520000
oct266777214
9110236160
1047971980
1125096071
1214095690
139c282b4
14652a700
154328dc0
hex2dbfe8c

47971980 has 240 divisors, whose sum is σ = 178815840. Its totient is φ = 10668672.

The previous prime is 47971967. The next prime is 47971981. The reversal of 47971980 is 8917974.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (47971981) 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 79 ways as a sum of consecutive naturals, for example, 1296522 + ... + 1296558.

It is an arithmetic number, because the mean of its divisors is an integer number (745066).

Almost surely, 247971980 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 47971980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89407920).

47971980 is an abundant number, since it is smaller than the sum of its proper divisors (130843860).

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

47971980 is a wasteful number, since it uses less digits than its factorization.

47971980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The square root of 47971980 is about 6926.1807657612. The cubic root of 47971980 is about 363.3533885254.

The spelling of 47971980 in words is "forty-seven million, nine hundred seventy-one thousand, nine hundred eighty".