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8157149 = 7111329281
BaseRepresentation
bin11111000111011111011101
3120100102111122
4133013133131
54042012044
6450500325
7126222530
oct37073735
916312448
108157149
114671650
1228946a5
1318c7b20
141124a17
15ab1dee
hex7c77dd

8157149 has 32 divisors (see below), whose sum is σ = 11370240. Its totient is φ = 5644800.

The previous prime is 8157133. The next prime is 8157169. The reversal of 8157149 is 9417518.

It is not a de Polignac number, because 8157149 - 24 = 8157133 is a prime.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8157109) 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 31 ways as a sum of consecutive naturals, for example, 28889 + ... + 29169.

It is an arithmetic number, because the mean of its divisors is an integer number (355320).

Almost surely, 28157149 is an apocalyptic number.

It is an amenable number.

8157149 is a deficient number, since it is larger than the sum of its proper divisors (3213091).

8157149 is a wasteful number, since it uses less digits than its factorization.

8157149 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341.

The product of its digits is 10080, while the sum is 35.

The square root of 8157149 is about 2856.0723030064. The cubic root of 8157149 is about 201.3010924378.

The spelling of 8157149 in words is "eight million, one hundred fifty-seven thousand, one hundred forty-nine".

Divisors: 1 7 11 13 29 77 91 143 203 281 319 377 1001 1967 2233 2639 3091 3653 4147 8149 21637 25571 29029 40183 57043 89639 105937 281281 627473 741559 1165307 8157149