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484688448 = 263493497
BaseRepresentation
bin11100111000111…
…100001001000000
31020210000201120000
4130320330021000
51443040012243
6120032320000
715003532566
oct3470741100
91223021500
10484688448
11229659672
121163a3000
13795539ca
144852ba36
152c8415d3
hex1ce3c240

484688448 has 70 divisors (see below), whose sum is σ = 1436783766. Its totient is φ = 161561088.

The previous prime is 484688431. The next prime is 484688467. The reversal of 484688448 is 844886484.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 463454784 + 21233664 = 21528^2 + 4608^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 484688394 and 484688403.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 41565 + ... + 51932.

Almost surely, 2484688448 is an apocalyptic number.

484688448 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

484688448 is an abundant number, since it is smaller than the sum of its proper divisors (952095318).

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

484688448 is an equidigital number, since it uses as much as digits as its factorization.

484688448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93521 (or 93502 counting only the distinct ones).

The product of its digits is 6291456, while the sum is 54.

The square root of 484688448 is about 22015.6409854449. The cubic root of 484688448 is about 785.5145303515.

The spelling of 484688448 in words is "four hundred eighty-four million, six hundred eighty-eight thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 93497 186994 280491 373988 560982 747976 841473 1121964 1495952 1682946 2243928 2524419 2991904 3365892 4487856 5048838 5983808 6731784 7573257 8975712 10097676 13463568 15146514 17951424 20195352 26927136 30293028 40390704 53854272 60586056 80781408 121172112 161562816 242344224 484688448