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4468247808 = 28311351487
BaseRepresentation
bin1000010100101010…
…00000110100000000
3102112101210111200120
410022111000310000
533122332412213
62015214020240
7215504323353
oct41225006400
912471714616
104468247808
111993233792
12a484a7680
1356293a11b
1430560229a
151b241a423
hex10a540d00

4468247808 has 72 divisors (see below), whose sum is σ = 11997527808. Its totient is φ = 1476206592.

The previous prime is 4468247801. The next prime is 4468247809. The reversal of 4468247808 is 8087428644.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4468247801) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61041 + ... + 112527.

Almost surely, 24468247808 is an apocalyptic number.

4468247808 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 4468247808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5998763904).

4468247808 is an abundant number, since it is smaller than the sum of its proper divisors (7529280000).

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

4468247808 is a wasteful number, since it uses less digits than its factorization.

4468247808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51619 (or 51605 counting only the distinct ones).

The product of its (nonzero) digits is 2752512, while the sum is 51.

The square root of 4468247808 is about 66844.9534968796. The cubic root of 4468247808 is about 1647.0713654683.

The spelling of 4468247808 in words is "four billion, four hundred sixty-eight million, two hundred forty-seven thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 113 128 192 226 256 339 384 452 678 768 904 1356 1808 2712 3616 5424 7232 10848 14464 21696 28928 43392 51487 86784 102974 154461 205948 308922 411896 617844 823792 1235688 1647584 2471376 3295168 4942752 5818031 6590336 9885504 11636062 13180672 17454093 19771008 23272124 34908186 39542016 46544248 69816372 93088496 139632744 186176992 279265488 372353984 558530976 744707968 1117061952 1489415936 2234123904 4468247808