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450042984 = 23326250597
BaseRepresentation
bin11010110100110…
…001110001101000
31011100211112220200
4122310301301220
51410202333414
6112353552200
714103205446
oct3264616150
91140745820
10450042984
11211045a56
12106875660
1372313431
1443aadb96
152979b109
hex1ad31c68

450042984 has 24 divisors (see below), whose sum is σ = 1218866610. Its totient is φ = 150014304.

The previous prime is 450042977. The next prime is 450042991. The reversal of 450042984 is 489240054.

It is an interprime number because it is at equal distance from previous prime (450042977) and next prime (450042991).

It can be written as a sum of positive squares in only one way, i.e., 395134884 + 54908100 = 19878^2 + 7410^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3125227 + ... + 3125370.

Almost surely, 2450042984 is an apocalyptic number.

It is an amenable number.

450042984 is an abundant number, since it is smaller than the sum of its proper divisors (768823626).

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

450042984 is a wasteful number, since it uses less digits than its factorization.

450042984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6250609 (or 6250602 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 450042984 is about 21214.2165539998. The cubic root of 450042984 is about 766.3338309090. Note that the first 3 decimals are identical.

The spelling of 450042984 in words is "four hundred fifty million, forty-two thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 6250597 12501194 18751791 25002388 37503582 50004776 56255373 75007164 112510746 150014328 225021492 450042984