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450129 = 31953149
BaseRepresentation
bin1101101111001010001
3211212110110
41231321101
5103401004
613351533
73553221
oct1557121
9755413
10450129
11288209
121985a9
13129b64
14ba081
158d589
hex6de51

450129 has 16 divisors (see below), whose sum is σ = 648000. Its totient is φ = 277056.

The previous prime is 450127. The next prime is 450137. The reversal of 450129 is 921054.

It is not a de Polignac number, because 450129 - 21 = 450127 is a prime.

It is a super-2 number, since 2×4501292 = 405232233282, which contains 22 as substring.

It is an alternating number because its digits alternate between even and odd.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (450127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2947 + ... + 3095.

It is an arithmetic number, because the mean of its divisors is an integer number (40500).

2450129 is an apocalyptic number.

It is an amenable number.

450129 is a deficient number, since it is larger than the sum of its proper divisors (197871).

450129 is a wasteful number, since it uses less digits than its factorization.

450129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224.

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 450129 is about 670.9165372831. The cubic root of 450129 is about 76.6382650521.

The spelling of 450129 in words is "four hundred fifty thousand, one hundred twenty-nine".

Divisors: 1 3 19 53 57 149 159 447 1007 2831 3021 7897 8493 23691 150043 450129