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47514064 = 2413297877
BaseRepresentation
bin1011010101000…
…0000111010000
310022101222001011
42311100013100
544130422224
64414220304
71114601653
oct265200720
9108358034
1047514064
1124903024
1213ab4694
139ac7a40
14644b89a
154288394
hex2d501d0

47514064 has 40 divisors (see below), whose sum is σ = 102571560. Its totient is φ = 21170688.

The previous prime is 47514043. The next prime is 47514101. The reversal of 47514064 is 46041574.

It can be written as a sum of positive squares in 4 ways, for example, as 14400 + 47499664 = 120^2 + 6892^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2094 + ... + 9970.

It is an arithmetic number, because the mean of its divisors is an integer number (2564289).

Almost surely, 247514064 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 47514064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51285780).

47514064 is an abundant number, since it is smaller than the sum of its proper divisors (55057496).

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

47514064 is a wasteful number, since it uses less digits than its factorization.

47514064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7927 (or 7921 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 31.

The square root of 47514064 is about 6893.0446103300. The cubic root of 47514064 is about 362.1935617160.

The spelling of 47514064 in words is "forty-seven million, five hundred fourteen thousand, sixty-four".

Divisors: 1 2 4 8 13 16 26 29 52 58 104 116 208 232 377 464 754 1508 3016 6032 7877 15754 31508 63016 102401 126032 204802 228433 409604 456866 819208 913732 1638416 1827464 2969629 3654928 5939258 11878516 23757032 47514064