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450381040 = 2455629763
BaseRepresentation
bin11010110110000…
…100010011110000
31011101110201122021
4122312010103300
51410244143130
6112405121224
714106114154
oct3266042360
91141421567
10450381040
11211256a3a
121069b9214
1372401275
1443b5b064
152981637a
hex1ad844f0

450381040 has 20 divisors (see below), whose sum is σ = 1047136104. Its totient is φ = 180152384.

The previous prime is 450381037. The next prime is 450381059. The reversal of 450381040 is 40183054.

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 450380996 and 450381014.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 2814802 + ... + 2814961.

Almost surely, 2450381040 is an apocalyptic number.

450381040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

450381040 is an abundant number, since it is smaller than the sum of its proper divisors (596755064).

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

450381040 is a wasteful number, since it uses less digits than its factorization.

450381040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5629776 (or 5629770 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 450381040 is about 21222.1827341110. The cubic root of 450381040 is about 766.5256636298.

The spelling of 450381040 in words is "four hundred fifty million, three hundred eighty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 5629763 11259526 22519052 28148815 45038104 56297630 90076208 112595260 225190520 450381040