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47314512 = 2432773643
BaseRepresentation
bin1011010001111…
…1011001010000
310022000211022100
42310133121100
544103031022
64410040400
71113111120
oct264373120
9108024270
1047314512
1124787103
1213a19100
139a57c6b
1463d8c80
1542491ac
hex2d1f650

47314512 has 120 divisors (see below), whose sum is σ = 153642944. Its totient is φ = 13312512.

The previous prime is 47314511. The next prime is 47314517. The reversal of 47314512 is 21541374.

47314512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47314511) 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 23 ways as a sum of consecutive naturals, for example, 73263 + ... + 73905.

Almost surely, 247314512 is an apocalyptic number.

47314512 is a gapful number since it is divisible by the number (42) 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 47314512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76821472).

47314512 is an abundant number, since it is smaller than the sum of its proper divisors (106328432).

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

47314512 is a wasteful number, since it uses less digits than its factorization.

47314512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737 (or 728 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 47314512 is about 6878.5544993116. The cubic root of 47314512 is about 361.6857971811.

Adding to 47314512 its reverse (21541374), we get a palindrome (68855886).

The spelling of 47314512 in words is "forty-seven million, three hundred fourteen thousand, five hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 73 84 112 126 144 146 168 219 252 292 336 438 504 511 584 643 657 876 1008 1022 1168 1286 1314 1533 1752 1929 2044 2572 2628 3066 3504 3858 4088 4501 4599 5144 5256 5787 6132 7716 8176 9002 9198 10288 10512 11574 12264 13503 15432 18004 18396 23148 24528 27006 30864 36008 36792 40509 46296 46939 54012 72016 73584 81018 92592 93878 108024 140817 162036 187756 216048 281634 324072 328573 375512 422451 563268 648144 657146 751024 844902 985719 1126536 1314292 1689804 1971438 2253072 2628584 2957157 3379608 3942876 5257168 5914314 6759216 7885752 11828628 15771504 23657256 47314512