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450169956 = 223212504721
BaseRepresentation
bin11010110101010…
…000110001100100
31011101002000002100
4122311100301210
51410220414311
6112400412100
714104244565
oct3265206144
91141060070
10450169956
11211122395
12106917030
1372359172
1443b0416c
15297c3a56
hex1ad50c64

450169956 has 18 divisors (see below), whose sum is σ = 1137929702. Its totient is φ = 150056640.

The previous prime is 450169949. The next prime is 450169963. The reversal of 450169956 is 659961054.

It is a happy number.

450169956 is a `hidden beast` number, since 4 + 501 + 6 + 99 + 56 = 666.

It is an interprime number because it is at equal distance from previous prime (450169949) and next prime (450169963).

It can be written as a sum of positive squares in only one way, i.e., 353816100 + 96353856 = 18810^2 + 9816^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6252325 + ... + 6252396.

Almost surely, 2450169956 is an apocalyptic number.

It is an amenable number.

450169956 is an abundant number, since it is smaller than the sum of its proper divisors (687759746).

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

450169956 is a wasteful number, since it uses less digits than its factorization.

450169956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12504731 (or 12504726 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The square root of 450169956 is about 21217.2089587674. The cubic root of 450169956 is about 766.4058934996.

The spelling of 450169956 in words is "four hundred fifty million, one hundred sixty-nine thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 12504721 25009442 37514163 50018884 75028326 112542489 150056652 225084978 450169956