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47348513 = 1923971117
BaseRepresentation
bin1011010010011…
…1101100100001
310022002112221122
42310213230201
544110123023
64410502025
71113312212
oct264475441
9108075848
1047348513
11247aa703
1213a34915
139a6a594
146407409
1542542c8
hex2d27b21

47348513 has 16 divisors (see below), whose sum is σ = 52590720. Its totient is φ = 42425856.

The previous prime is 47348489. The next prime is 47348537. The reversal of 47348513 is 31584374.

47348513 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (47348489) and next prime (47348537).

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-47348513 is a prime.

It is a super-2 number, since 2×473485132 = 4483763366622338, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (47348113) 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 15 ways as a sum of consecutive naturals, for example, 41831 + ... + 42947.

It is an arithmetic number, because the mean of its divisors is an integer number (3286920).

Almost surely, 247348513 is an apocalyptic number.

It is an amenable number.

47348513 is a deficient number, since it is larger than the sum of its proper divisors (5242207).

47348513 is a wasteful number, since it uses less digits than its factorization.

47348513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1256.

The product of its digits is 40320, while the sum is 35.

The square root of 47348513 is about 6881.0255776301. The cubic root of 47348513 is about 361.7724142581.

The spelling of 47348513 in words is "forty-seven million, three hundred forty-eight thousand, five hundred thirteen".

Divisors: 1 19 23 97 437 1117 1843 2231 21223 25691 42389 108349 488129 2058631 2492027 47348513