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450131448 = 233133114639
BaseRepresentation
bin11010110101000…
…111010111111000
31011101000001021010
4122311013113320
51410213201243
6112355513520
714104024404
oct3265072770
91141001233
10450131448
112110a6468
121068b88a0
1372344790
1443ad4104
15297b7433
hex1ad475f8

450131448 has 64 divisors (see below), whose sum is σ = 1216051200. Its totient is φ = 138026880.

The previous prime is 450131411. The next prime is 450131467. The reversal of 450131448 is 844131054.

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, 94713 + ... + 99351.

It is an arithmetic number, because the mean of its divisors is an integer number (19000800).

Almost surely, 2450131448 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 450131448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608025600).

450131448 is an abundant number, since it is smaller than the sum of its proper divisors (765919752).

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

450131448 is a wasteful number, since it uses less digits than its factorization.

450131448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4972 (or 4968 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 450131448 is about 21216.3014684464. The cubic root of 450131448 is about 766.3840398276.

The spelling of 450131448 in words is "four hundred fifty million, one hundred thirty-one thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 311 312 622 933 1244 1866 2488 3732 4043 4639 7464 8086 9278 12129 13917 16172 18556 24258 27834 32344 37112 48516 55668 60307 97032 111336 120614 180921 241228 361842 482456 723684 1442729 1447368 2885458 4328187 5770916 8656374 11541832 17312748 18755477 34625496 37510954 56266431 75021908 112532862 150043816 225065724 450131448