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8005149 = 3679139
BaseRepresentation
bin11110100010011000011101
3120001201000000
4132202120131
54022131044
6443324513
7125020425
oct36423035
916051000
108005149
114578429
122820739
131873899
1410c5485
15a81d69
hex7a261d

8005149 has 28 divisors (see below), whose sum is σ = 12241600. Its totient is φ = 5231304.

The previous prime is 8005141. The next prime is 8005169. The reversal of 8005149 is 9415008.

It is not a de Polignac number, because 8005149 - 23 = 8005141 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8005141) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 57522 + ... + 57660.

It is an arithmetic number, because the mean of its divisors is an integer number (437200).

Almost surely, 28005149 is an apocalyptic number.

It is an amenable number.

8005149 is a deficient number, since it is larger than the sum of its proper divisors (4236451).

8005149 is an equidigital number, since it uses as much as digits as its factorization.

8005149 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 8005149 is about 2829.3372015368. The cubic root of 8005149 is about 200.0428991310.

The spelling of 8005149 in words is "eight million, five thousand, one hundred forty-nine".

Divisors: 1 3 9 27 79 81 139 237 243 417 711 729 1251 2133 3753 6399 10981 11259 19197 32943 33777 57591 98829 101331 296487 889461 2668383 8005149