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450752104 = 231122916057
BaseRepresentation
bin11010110111011…
…110111001101000
31011102011120122101
4122313132321220
51410343031404
6112421103144
714112221035
oct3267367150
91142146571
10450752104
1121148a800
12106b57ab4
137250112a
1443c1638c
152988b2a4
hex1addee68

450752104 has 48 divisors (see below), whose sum is σ = 961071300. Its totient is φ = 197809920.

The previous prime is 450752087. The next prime is 450752131. The reversal of 450752104 is 401257054.

It can be written as a sum of positive squares in 2 ways, for example, as 450712900 + 39204 = 21230^2 + 198^2 .

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, 20044 + ... + 36100.

Almost surely, 2450752104 is an apocalyptic number.

450752104 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450752104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480535650).

450752104 is an abundant number, since it is smaller than the sum of its proper divisors (510319196).

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

450752104 is a wasteful number, since it uses less digits than its factorization.

450752104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16114 (or 16099 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 28.

The square root of 450752104 is about 21230.9232959850. The cubic root of 450752104 is about 766.7361165399.

The spelling of 450752104 in words is "four hundred fifty million, seven hundred fifty-two thousand, one hundred four".

Divisors: 1 2 4 8 11 22 29 44 58 88 116 121 232 242 319 484 638 968 1276 2552 3509 7018 14036 16057 28072 32114 64228 128456 176627 353254 465653 706508 931306 1413016 1862612 1942897 3725224 3885794 5122183 7771588 10244366 15543176 20488732 40977464 56344013 112688026 225376052 450752104