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483977984 = 2872967139
BaseRepresentation
bin11100110110001…
…110101100000000
31020201200121222112
4130312032230000
51442344243414
6120005154452
714664513350
oct3466165400
91221617875
10483977984
11229213906
121160bba28
1379365509
14483c4b60
152c750d3e
hex1cd8eb00

483977984 has 144 divisors (see below), whose sum is σ = 1167532800. Its totient is φ = 195858432.

The previous prime is 483977969. The next prime is 483977987. The reversal of 483977984 is 489779384.

It is not an unprimeable number, because it can be changed into a prime (483977987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3481787 + ... + 3481925.

Almost surely, 2483977984 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 483977984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583766400).

483977984 is an abundant number, since it is smaller than the sum of its proper divisors (683554816).

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

483977984 is a wasteful number, since it uses less digits than its factorization.

483977984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 244 counting only the distinct ones).

The product of its digits is 12192768, while the sum is 59.

The square root of 483977984 is about 21999.4996306734. The cubic root of 483977984 is about 785.1305361242.

The spelling of 483977984 in words is "four hundred eighty-three million, nine hundred seventy-seven thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 67 112 116 128 134 139 203 224 232 256 268 278 406 448 464 469 536 556 812 896 928 938 973 1072 1112 1624 1792 1856 1876 1943 1946 2144 2224 3248 3712 3752 3886 3892 4031 4288 4448 6496 7424 7504 7772 7784 8062 8576 8896 9313 12992 13601 15008 15544 15568 16124 17152 17792 18626 25984 27202 28217 30016 31088 31136 32248 35584 37252 51968 54404 56434 60032 62176 62272 64496 65191 74504 108808 112868 120064 124352 124544 128992 130382 149008 217616 225736 248704 249088 257984 260764 270077 298016 435232 451472 497408 515968 521528 540154 596032 870464 902944 1031936 1043056 1080308 1192064 1740928 1805888 1890539 2086112 2160616 2384128 3481856 3611776 3781078 4172224 4321232 7223552 7562156 8344448 8642464 15124312 16688896 17284928 30248624 34569856 60497248 69139712 120994496 241988992 483977984