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47749005 = 3251762417
BaseRepresentation
bin1011011000100…
…1011110001101
310022211220022200
42312021132031
544210432010
64423232113
71116600633
oct266113615
9108756280
1047749005
1124a53597
1213ba8639
139b7a965
1464ad353
1542d2cc0
hex2d8978d

47749005 has 24 divisors (see below), whose sum is σ = 87634872. Its totient is φ = 23967744.

The previous prime is 47749001. The next prime is 47749027. The reversal of 47749005 is 50094774.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 675684 + 47073321 = 822^2 + 6861^2 .

It is not a de Polignac number, because 47749005 - 22 = 47749001 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 not an unprimeable number, because it can be changed into a prime (47749001) 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, 30444 + ... + 31973.

It is an arithmetic number, because the mean of its divisors is an integer number (3651453).

Almost surely, 247749005 is an apocalyptic number.

47749005 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

47749005 is a deficient number, since it is larger than the sum of its proper divisors (39885867).

47749005 is a wasteful number, since it uses less digits than its factorization.

47749005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62445 (or 62442 counting only the distinct ones).

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

The square root of 47749005 is about 6910.0654844943. The cubic root of 47749005 is about 362.7895554110.

The spelling of 47749005 in words is "forty-seven million, seven hundred forty-nine thousand, five".

Divisors: 1 3 5 9 15 17 45 51 85 153 255 765 62417 187251 312085 561753 936255 1061089 2808765 3183267 5305445 9549801 15916335 47749005