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47512064 = 29711307
BaseRepresentation
bin1011010100111…
…1101000000000
310022101212022002
42311033220000
544130341224
64414203132
71114563065
oct265175000
9108355262
1047512064
1124901576
1213ab34a8
139ac6b62
14644ac6c
1542879ae
hex2d4fa00

47512064 has 40 divisors (see below), whose sum is σ = 96342048. Its totient is φ = 23403520.

The previous prime is 47512061. The next prime is 47512067. The reversal of 47512064 is 46021574.

It is an interprime number because it is at equal distance from previous prime (47512061) and next prime (47512067).

It is not an unprimeable number, because it can be changed into a prime (47512061) 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 3 ways as a sum of consecutive naturals, for example, 35699 + ... + 37005.

Almost surely, 247512064 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 47512064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48171024).

47512064 is an abundant number, since it is smaller than the sum of its proper divisors (48829984).

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

47512064 is an equidigital number, since it uses as much as digits as its factorization.

47512064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1396 (or 1380 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 47512064 is about 6892.8995350288. The cubic root of 47512064 is about 362.1884797309.

The spelling of 47512064 in words is "forty-seven million, five hundred twelve thousand, sixty-four".

Divisors: 1 2 4 8 16 32 64 71 128 142 256 284 512 568 1136 1307 2272 2614 4544 5228 9088 10456 18176 20912 36352 41824 83648 92797 167296 185594 334592 371188 669184 742376 1484752 2969504 5939008 11878016 23756032 47512064