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47474064 = 243211174143
BaseRepresentation
bin1011010100011…
…0010110010000
310022022221011200
42311012112100
544123132224
64413311200
71114344231
oct265062620
9108287150
1047474064
1124885a70
1213a95500
139ab2781
14643b088
15427b5c9
hex2d46590

47474064 has 240 divisors, whose sum is σ = 160864704. Its totient is φ = 12902400.

The previous prime is 47474059. The next prime is 47474069. The reversal of 47474064 is 46047474.

It is an interprime number because it is at equal distance from previous prime (47474059) and next prime (47474069).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (47474069) 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 47 ways as a sum of consecutive naturals, for example, 1104027 + ... + 1104069.

Almost surely, 247474064 is an apocalyptic number.

47474064 is a gapful number since it is divisible by the number (44) 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 47474064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80432352).

47474064 is an abundant number, since it is smaller than the sum of its proper divisors (113390640).

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

47474064 is a wasteful number, since it uses less digits than its factorization.

47474064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 36.

The square root of 47474064 is about 6890.1425239250. The cubic root of 47474064 is about 362.0918949063.

The spelling of 47474064 in words is "forty-seven million, four hundred seventy-four thousand, sixty-four".