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454550500 = 22531019001
BaseRepresentation
bin11011000101111…
…110001111100100
31011200022120001201
4123011332033210
51412331104000
6113034332244
714156421055
oct3305761744
91150276051
10454550500
11213644578
1210828a084
1373230cc1
144452472c
1529d8b96a
hex1b17e3e4

454550500 has 48 divisors (see below), whose sum is σ = 1002678768. Its totient is φ = 180000000.

The previous prime is 454550483. The next prime is 454550521. The reversal of 454550500 is 5055454.

It can be written as a sum of positive squares in 8 ways, for example, as 99680256 + 354870244 = 9984^2 + 18838^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46000 + ... + 55000.

It is an arithmetic number, because the mean of its divisors is an integer number (20889141).

Almost surely, 2454550500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 454550500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501339384).

454550500 is an abundant number, since it is smaller than the sum of its proper divisors (548128268).

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

454550500 is a wasteful number, since it uses less digits than its factorization.

454550500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9121 (or 9109 counting only the distinct ones).

The product of its (nonzero) digits is 10000, while the sum is 28.

The square root of 454550500 is about 21320.1899616303. The cubic root of 454550500 is about 768.8838046777.

It can be divided in two parts, 4545 and 50500, that multiplied together give a square (229522500 = 151502).

The spelling of 454550500 in words is "four hundred fifty-four million, five hundred fifty thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 101 125 202 250 404 500 505 1010 2020 2525 5050 9001 10100 12625 18002 25250 36004 45005 50500 90010 180020 225025 450050 900100 909101 1125125 1818202 2250250 3636404 4500500 4545505 9091010 18182020 22727525 45455050 90910100 113637625 227275250 454550500