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483711648 = 25372924821
BaseRepresentation
bin11100110101001…
…101101010100000
31020201012002122020
4130311031222200
51442312233043
6115555341440
714662324020
oct3465155240
91221162566
10483711648
112290517a2
12115bb1880
13792a1214
1448355a80
152c6ebe83
hex1cd4daa0

483711648 has 96 divisors (see below), whose sum is σ = 1501234560. Its totient is φ = 133432320.

The previous prime is 483711647. The next prime is 483711653. The reversal of 483711648 is 846117384.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is not an unprimeable number, because it can be changed into a prime (483711647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7078 + ... + 31898.

It is an arithmetic number, because the mean of its divisors is an integer number (15637860).

Almost surely, 2483711648 is an apocalyptic number.

483711648 is a gapful number since it is divisible by the number (48) 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 483711648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750617280).

483711648 is an abundant number, since it is smaller than the sum of its proper divisors (1017522912).

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

483711648 is a wasteful number, since it uses less digits than its factorization.

483711648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24870 (or 24862 counting only the distinct ones).

The product of its digits is 129024, while the sum is 42.

The square root of 483711648 is about 21993.4455690781. The cubic root of 483711648 is about 784.9864890098.

The spelling of 483711648 in words is "four hundred eighty-three million, seven hundred eleven thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 32 42 48 56 58 84 87 96 112 116 168 174 203 224 232 336 348 406 464 609 672 696 812 928 1218 1392 1624 2436 2784 3248 4872 6496 9744 19488 24821 49642 74463 99284 148926 173747 198568 297852 347494 397136 521241 595704 694988 719809 794272 1042482 1191408 1389976 1439618 2084964 2159427 2382816 2779952 2879236 4169928 4318854 5038663 5559904 5758472 8339856 8637708 10077326 11516944 15115989 16679712 17275416 20154652 23033888 30231978 34550832 40309304 60463956 69101664 80618608 120927912 161237216 241855824 483711648