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450404920 = 23578571877
BaseRepresentation
bin11010110110001…
…010001000111000
31011101111221101201
4122312022020320
51410300424140
6112405423544
714106243610
oct3266121070
91141457351
10450404920
11211272979
12106a0abb4
137240c0b4
1443b65a40
152981d49a
hex1ad8a238

450404920 has 64 divisors (see below), whose sum is σ = 1160153280. Its totient is φ = 154162176.

The previous prime is 450404917. The next prime is 450404923. The reversal of 450404920 is 29404054.

It is an interprime number because it is at equal distance from previous prime (450404917) and next prime (450404923).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450404923) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 239022 + ... + 240898.

It is an arithmetic number, because the mean of its divisors is an integer number (18127395).

Almost surely, 2450404920 is an apocalyptic number.

450404920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

450404920 is an abundant number, since it is smaller than the sum of its proper divisors (709748360).

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

450404920 is a wasteful number, since it uses less digits than its factorization.

450404920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2752 (or 2748 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 450404920 is about 21222.7453455014. The cubic root of 450404920 is about 766.5392109062.

Adding to 450404920 its reverse (29404054), we get a palindrome (479808974).

The spelling of 450404920 in words is "four hundred fifty million, four hundred four thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 857 1714 1877 3428 3754 4285 5999 6856 7508 8570 9385 11998 13139 15016 17140 18770 23996 26278 29995 34280 37540 47992 52556 59990 65695 75080 105112 119980 131390 239960 262780 525560 1608589 3217178 6434356 8042945 11260123 12868712 16085890 22520246 32171780 45040492 56300615 64343560 90080984 112601230 225202460 450404920