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4665090304 = 28731791063
BaseRepresentation
bin1000101100000111…
…11010000100000000
3110001010012010211101
410112003322010000
534023230342204
62050525024144
7223414420240
oct42603720400
913033163741
104665090304
111a8435a436
12aa23b5054
1359465a184
14323801b20
151c484dea4
hex1160fa100

4665090304 has 144 divisors (see below), whose sum is σ = 11135057920. Its totient is φ = 1908541440.

The previous prime is 4665090301. The next prime is 4665090323. The reversal of 4665090304 is 4030905664.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (4665090301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4388077 + ... + 4389139.

Almost surely, 24665090304 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 4665090304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5567528960).

4665090304 is an abundant number, since it is smaller than the sum of its proper divisors (6469967616).

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

4665090304 is a wasteful number, since it uses less digits than its factorization.

4665090304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1196 (or 1182 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 37.

The square root of 4665090304 is about 68301.4663385787. The cubic root of 4665090304 is about 1670.9111291382.

Adding to 4665090304 its reverse (4030905664), we get a palindrome (8695995968).

The spelling of 4665090304 in words is "four billion, six hundred sixty-five million, ninety thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 79 112 124 128 158 217 224 248 256 316 434 448 496 553 632 868 896 992 1063 1106 1264 1736 1792 1984 2126 2212 2449 2528 3472 3968 4252 4424 4898 5056 6944 7441 7936 8504 8848 9796 10112 13888 14882 17008 17143 17696 19592 20224 27776 29764 32953 34016 34286 35392 39184 55552 59528 65906 68032 68572 70784 78368 83977 119056 131812 136064 137144 141568 156736 167954 230671 238112 263624 272128 274288 313472 335908 461342 476224 527248 548576 587839 626944 671816 922684 952448 1054496 1097152 1175678 1343632 1845368 1904896 2108992 2194304 2351356 2603287 2687264 3690736 4217984 4388608 4702712 5206574 5374528 7381472 8435968 9405424 10413148 10749056 14762944 18223009 18810848 20826296 21498112 29525888 36446018 37621696 41652592 59051776 72892036 75243392 83305184 145784072 150486784 166610368 291568144 333220736 583136288 666441472 1166272576 2332545152 4665090304