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47472480 = 253651137
BaseRepresentation
bin1011010100010…
…1111101100000
310022022212000000
42311011331200
544123104410
64413300000
71114336506
oct265057540
9108285000
1047472480
1124884860
1213a94600
139ab1b33
14643a676
15427adc0
hex2d45f60

47472480 has 336 divisors, whose sum is σ = 188398224. Its totient is φ = 11197440.

The previous prime is 47472461. The next prime is 47472487. The reversal of 47472480 is 8427474.

47472480 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47472487) by changing a digit.

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 55 ways as a sum of consecutive naturals, for example, 1283022 + ... + 1283058.

It is an arithmetic number, because the mean of its divisors is an integer number (560709).

Almost surely, 247472480 is an apocalyptic number.

47472480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47472480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94199112).

47472480 is an abundant number, since it is smaller than the sum of its proper divisors (140925744).

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

47472480 is a wasteful number, since it uses less digits than its factorization.

47472480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The square root of 47472480 is about 6890.0275761422. The cubic root of 47472480 is about 362.0878677253.

It can be divided in two parts, 4747 and 2480, that added together give a palindrome (7227).

The spelling of 47472480 in words is "forty-seven million, four hundred seventy-two thousand, four hundred eighty".