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47146064 = 2474110267
BaseRepresentation
bin1011001111011…
…0010001010000
310021201021020112
42303312101100
544032133224
64402300452
71111510040
oct263662120
9107637215
1047146064
1124681599
1213957728
1399c93a4
146393720
15421430e
hex2cf6450

47146064 has 40 divisors (see below), whose sum is σ = 106951488. Its totient is φ = 19710720.

The previous prime is 47146063. The next prime is 47146129. The reversal of 47146064 is 46064174.

It is a self number, because there is not a number n which added to its sum of digits gives 47146064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47146063) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 542 + ... + 9725.

Almost surely, 247146064 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 47146064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53475744).

47146064 is an abundant number, since it is smaller than the sum of its proper divisors (59805424).

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

47146064 is a wasteful number, since it uses less digits than its factorization.

47146064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10323 (or 10317 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 47146064 is about 6866.2991487409. The cubic root of 47146064 is about 361.2560650794.

The spelling of 47146064 in words is "forty-seven million, one hundred forty-six thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 41 56 82 112 164 287 328 574 656 1148 2296 4592 10267 20534 41068 71869 82136 143738 164272 287476 420947 574952 841894 1149904 1683788 2946629 3367576 5893258 6735152 11786516 23573032 47146064