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74288247 = 31147211227
BaseRepresentation
bin1000110110110…
…00110001110111
312011210020022120
410123120301313
5123004210442
611212131023
71561303545
oct433306167
9164706276
1074288247
1138a2a950
1220a66a73
1312510657
149c1ad95
1567c64ec
hex46d8c77

74288247 has 32 divisors (see below), whose sum is σ = 111366144. Its totient is φ = 43663200.

The previous prime is 74288243. The next prime is 74288273.

74288247 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 74288247 - 22 = 74288243 is a prime.

It is a super-3 number, since 3×742882473 (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 74288199 and 74288208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74288243) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 327148 + ... + 327374.

It is an arithmetic number, because the mean of its divisors is an integer number (3480192).

Almost surely, 274288247 is an apocalyptic number.

74288247 is a deficient number, since it is larger than the sum of its proper divisors (37077897).

74288247 is a wasteful number, since it uses less digits than its factorization.

74288247 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499.

The product of its digits is 200704, while the sum is 42.

The square root of 74288247 is about 8619.0630001178. The cubic root of 74288247 is about 420.3780552900.

The spelling of 74288247 in words is "seventy-four million, two hundred eighty-eight thousand, two hundred forty-seven".

Divisors: 1 3 11 33 47 141 211 227 517 633 681 1551 2321 2497 6963 7491 9917 10669 29751 32007 47897 109087 117359 143691 327261 352077 526867 1580601 2251159 6753477 24762749 74288247