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47947005 = 3352937331
BaseRepresentation
bin1011011011100…
…1110011111101
310100012221221000
42312321303331
544233301010
64431400513
71121354121
oct266716375
9110187830
1047947005
1125079327
1214083139
139c19b12
146521581
1543217c0
hex2db9cfd

47947005 has 64 divisors (see below), whose sum is σ = 90835200. Its totient is φ = 23950080.

The previous prime is 47946991. The next prime is 47947027. The reversal of 47947005 is 50074974.

It is a happy number.

It is not a de Polignac number, because 47947005 - 214 = 47930621 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 144690 + ... + 145020.

It is an arithmetic number, because the mean of its divisors is an integer number (1419300).

Almost surely, 247947005 is an apocalyptic number.

47947005 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

47947005 is a deficient number, since it is larger than the sum of its proper divisors (42888195).

47947005 is a wasteful number, since it uses less digits than its factorization.

47947005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 47947005 is about 6924.3775893578. The cubic root of 47947005 is about 363.2903216673.

The spelling of 47947005 in words is "forty-seven million, nine hundred forty-seven thousand, five".

Divisors: 1 3 5 9 15 27 29 37 45 87 111 135 145 185 261 331 333 435 555 783 993 999 1073 1305 1655 1665 2979 3219 3915 4965 4995 5365 8937 9599 9657 12247 14895 16095 28797 28971 36741 44685 47995 48285 61235 86391 110223 143985 144855 183705 259173 330669 355163 431955 551115 1065489 1295865 1653345 1775815 3196467 5327445 9589401 15982335 47947005