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450272052 = 223288114197
BaseRepresentation
bin11010110101101…
…001101100110100
31011101021012010200
4122311221230310
51410232201202
6112402520500
714105151336
oct3265515464
91141235120
10450272052
1121119206a
12106966130
1372393789
1443b2d456
15297e3e1c
hex1ad69b34

450272052 has 36 divisors (see below), whose sum is σ = 1139559876. Its totient is φ = 149909760.

The previous prime is 450272033. The next prime is 450272057. The reversal of 450272052 is 250272054.

450272052 is a `hidden beast` number, since 450 + 2 + 7 + 205 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 298391076 + 151880976 = 17274^2 + 12324^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450272057) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24618 + ... + 38814.

It is an arithmetic number, because the mean of its divisors is an integer number (31654441).

Almost surely, 2450272052 is an apocalyptic number.

It is an amenable number.

450272052 is an abundant number, since it is smaller than the sum of its proper divisors (689287824).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

450272052 is a wasteful number, since it uses less digits than its factorization.

450272052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15088 (or 15083 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 450272052 is about 21219.6147938647. The cubic root of 450272052 is about 766.4638279608.

The spelling of 450272052 in words is "four hundred fifty million, two hundred seventy-two thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 881 1762 2643 3524 5286 7929 10572 14197 15858 28394 31716 42591 56788 85182 127773 170364 255546 511092 12507557 25015114 37522671 50030228 75045342 112568013 150090684 225136026 450272052