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47923141 = 797163433
BaseRepresentation
bin1011011011001…
…1111111000101
310100011202012011
42312303333011
544232020031
64431054221
71121224420
oct266637705
9110152164
1047923141
1125062402
1214071371
139c0bcb6
1465169b7
1543196b1
hex2db3fc5

47923141 has 16 divisors (see below), whose sum is σ = 55801984. Its totient is φ = 40310784.

The previous prime is 47923087. The next prime is 47923147. The reversal of 47923141 is 14132974.

It is a 9-Lehmer number, since φ(47923141) divides (47923141-1)9.

It is a cyclic number.

It is not a de Polignac number, because 47923141 - 223 = 39534533 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47923147) 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 15 ways as a sum of consecutive naturals, for example, 110461 + ... + 110893.

It is an arithmetic number, because the mean of its divisors is an integer number (3487624).

Almost surely, 247923141 is an apocalyptic number.

It is an amenable number.

47923141 is a deficient number, since it is larger than the sum of its proper divisors (7878843).

47923141 is a wasteful number, since it uses less digits than its factorization.

47923141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700.

The product of its digits is 6048, while the sum is 31.

The square root of 47923141 is about 6922.6541875209. The cubic root of 47923141 is about 363.2300398419.

The spelling of 47923141 in words is "forty-seven million, nine hundred twenty-three thousand, one hundred forty-one".

Divisors: 1 7 97 163 433 679 1141 3031 15811 42001 70579 110677 294007 494053 6846163 47923141