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450497088 = 2632782113
BaseRepresentation
bin11010110110100…
…000101001000000
31011101200121211100
4122312200221000
51410311401323
6112411414400
714110106406
oct3266405100
91141617740
10450497088
11211326148
12106a54400
1372442032
1443b8b476
152983a943
hex1ada0a40

450497088 has 42 divisors (see below), whose sum is σ = 1291270214. Its totient is φ = 150165504.

The previous prime is 450497083. The next prime is 450497101. The reversal of 450497088 is 880794054.

It can be written as a sum of positive squares in only one way, i.e., 248629824 + 201867264 = 15768^2 + 14208^2 .

It is not an unprimeable number, because it can be changed into a prime (450497083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 390481 + ... + 391632.

Almost surely, 2450497088 is an apocalyptic number.

450497088 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

450497088 is an abundant number, since it is smaller than the sum of its proper divisors (840773126).

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

450497088 is a wasteful number, since it uses less digits than its factorization.

450497088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782131 (or 782118 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 450497088 is about 21224.9166782817. The cubic root of 450497088 is about 766.5914939107.

The spelling of 450497088 in words is "four hundred fifty million, four hundred ninety-seven thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 782113 1564226 2346339 3128452 4692678 6256904 7039017 9385356 12513808 14078034 18770712 25027616 28156068 37541424 50055232 56312136 75082848 112624272 150165696 225248544 450497088