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47053149 = 311213359
BaseRepresentation
bin1011001101111…
…1100101011101
310021112112210020
42303133211131
544021200044
64400302353
71110642123
oct263374535
9107475706
1047053149
1124618800
12139119b9
139996000
14636b913
1541e6a19
hex2cdf95d

47053149 has 48 divisors (see below), whose sum is σ = 75969600. Its totient is φ = 25877280.

The previous prime is 47053121. The next prime is 47053151. The reversal of 47053149 is 94135074.

It is not a de Polignac number, because 47053149 - 28 = 47052893 is a prime.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47053189) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 797482 + ... + 797540.

It is an arithmetic number, because the mean of its divisors is an integer number (1582700).

Almost surely, 247053149 is an apocalyptic number.

It is an amenable number.

47053149 is a deficient number, since it is larger than the sum of its proper divisors (28916451).

47053149 is a wasteful number, since it uses less digits than its factorization.

47053149 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 47053149 is about 6859.5297943810. The cubic root of 47053149 is about 361.0185890372.

The spelling of 47053149 in words is "forty-seven million, fifty-three thousand, one hundred forty-nine".

Divisors: 1 3 11 13 33 39 59 121 143 169 177 363 429 507 649 767 1573 1859 1947 2197 2301 4719 5577 6591 7139 8437 9971 20449 21417 24167 25311 29913 61347 72501 92807 109681 129623 265837 278421 329043 388869 797511 1206491 1425853 3619473 4277559 15684383 47053149