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47514240 = 2732573113
BaseRepresentation
bin1011010101000…
…0001010000000
310022101222021200
42311100022000
544130423430
64414221200
71114602324
oct265201200
9108358250
1047514240
1124903174
1213ab4800
139ac7b47
14644b984
154288460
hex2d50280

47514240 has 192 divisors, whose sum is σ = 167792040. Its totient is φ = 12386304.

The previous prime is 47514223. The next prime is 47514241. The reversal of 47514240 is 4241574.

It can be written as a sum of positive squares in 4 ways, for example, as 25160256 + 22353984 = 5016^2 + 4728^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (47514241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 420424 + ... + 420536.

Almost surely, 247514240 is an apocalyptic number.

47514240 is a gapful number since it is divisible by the number (40) 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 47514240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83896020).

47514240 is an abundant number, since it is smaller than the sum of its proper divisors (120277800).

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

47514240 is a wasteful number, since it uses less digits than its factorization.

47514240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 47514240 is about 6893.0573768104. The cubic root of 47514240 is about 362.1940089238.

The spelling of 47514240 in words is "forty-seven million, five hundred fourteen thousand, two hundred forty".