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4272129 = 33158227
BaseRepresentation
bin10000010011000000000001
322001001021000
4100103000001
52043202004
6231322213
751212121
oct20230001
98031230
104272129
112458794
121520369
13b676b4
147d2c81
15595c39
hex413001

4272129 has 8 divisors (see below), whose sum is σ = 6329120. Its totient is φ = 2848068.

The previous prime is 4272119. The next prime is 4272139. The reversal of 4272129 is 9212724.

It is an interprime number because it is at equal distance from previous prime (4272119) and next prime (4272139).

It is not a de Polignac number, because 4272129 - 24 = 4272113 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 158227 = 4272129 / (4 + 2 + 7 + 2 + 1 + 2 + 9).

It is an Ulam number.

It is a d-powerful number, because it can be written as 45 + 210 + 73 + 214 + 1 + 222 + 95 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4272119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79087 + ... + 79140.

It is an arithmetic number, because the mean of its divisors is an integer number (791140).

It is a Proth number, since it is equal to 1043 ⋅ 212 + 1 and 1043 < 212.

Almost surely, 24272129 is an apocalyptic number.

It is an amenable number.

4272129 is a deficient number, since it is larger than the sum of its proper divisors (2056991).

4272129 is a wasteful number, since it uses less digits than its factorization.

4272129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158236 (or 158230 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 4272129 is about 2066.9129154369. The cubic root of 4272129 is about 162.2612383133.

It can be divided in two parts, 427 and 2129, that added together give a triangular number (2556 = T71).

The spelling of 4272129 in words is "four million, two hundred seventy-two thousand, one hundred twenty-nine".

Divisors: 1 3 9 27 158227 474681 1424043 4272129