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8129241 = 34100361
BaseRepresentation
bin11111000000101011011001
3120022000020000
4133000223121
54040113431
6450123213
7126045261
oct37005331
916260200
108129241
11465268a
122880509
1318b8203
1411187a1
15aa89e6
hex7c0ad9

8129241 has 10 divisors (see below), whose sum is σ = 12143802. Its totient is φ = 5419440.

The previous prime is 8129227. The next prime is 8129243. The reversal of 8129241 is 1429218.

8129241 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 5475600 + 2653641 = 2340^2 + 1629^2 .

It is not a de Polignac number, because 8129241 - 27 = 8129113 is a prime.

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

8129241 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (8129243) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 50100 + ... + 50261.

Almost surely, 28129241 is an apocalyptic number.

8129241 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

It is an amenable number.

8129241 is a deficient number, since it is larger than the sum of its proper divisors (4014561).

8129241 is a wasteful number, since it uses less digits than its factorization.

8129241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100373 (or 100364 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 8129241 is about 2851.1823863092. The cubic root of 8129241 is about 201.0712600975.

It can be divided in two parts, 81 and 29241, that multiplied together give a square (2368521 = 15392).

The spelling of 8129241 in words is "eight million, one hundred twenty-nine thousand, two hundred forty-one".

Divisors: 1 3 9 27 81 100361 301083 903249 2709747 8129241