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450550440 = 233251251529
BaseRepresentation
bin11010110110101…
…101101010101000
31011101210100000100
4122312231222220
51410320103230
6112412505400
714110421064
oct3266555250
91141710010
10450550440
1121136223a
12106a7b260
13724603c2
1443ba2aa4
152984b660
hex1adadaa8

450550440 has 48 divisors (see below), whose sum is σ = 1464290100. Its totient is φ = 120146688.

The previous prime is 450550423. The next prime is 450550459. The reversal of 450550440 is 44055054.

It can be written as a sum of positive squares in 2 ways, for example, as 387538596 + 63011844 = 19686^2 + 7938^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 625405 + ... + 626124.

Almost surely, 2450550440 is an apocalyptic number.

450550440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

450550440 is an abundant number, since it is smaller than the sum of its proper divisors (1013739660).

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

450550440 is a wasteful number, since it uses less digits than its factorization.

450550440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1251546 (or 1251539 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 27.

The square root of 450550440 is about 21226.1734657945. The cubic root of 450550440 is about 766.6217549831.

It can be divided in two parts, 4505 and 50440, that added together give a palindrome (54945).

The spelling of 450550440 in words is "four hundred fifty million, five hundred fifty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 1251529 2503058 3754587 5006116 6257645 7509174 10012232 11263761 12515290 15018348 18772935 22527522 25030580 30036696 37545870 45055044 50061160 56318805 75091740 90110088 112637610 150183480 225275220 450550440