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4531983104 = 28115213089
BaseRepresentation
bin1000011100010000…
…01001001100000000
3102200211201121002002
410032020021030000
533240141424404
62025412043132
7220210135505
oct41610111400
912624647062
104531983104
111a16205a90
12a659034a8
13572bc430c
1430dc734ac
151b7d09c1e
hex10e209300

4531983104 has 72 divisors (see below), whose sum is σ = 9890793360. Its totient is φ = 2055372800.

The previous prime is 4531983103. The next prime is 4531983133. The reversal of 4531983104 is 4013891354.

It is not an unprimeable number, because it can be changed into a prime (4531983101) 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, 1465592 + ... + 1468680.

It is an arithmetic number, because the mean of its divisors is an integer number (137372130).

Almost surely, 24531983104 is an apocalyptic number.

4531983104 is a gapful number since it is divisible by the number (44) 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 4531983104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4945396680).

4531983104 is an abundant number, since it is smaller than the sum of its proper divisors (5358810256).

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

4531983104 is a wasteful number, since it uses less digits than its factorization.

4531983104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3637 (or 3623 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 38.

The square root of 4531983104 is about 67320.0052287580. The cubic root of 4531983104 is about 1654.8657234457.

The spelling of 4531983104 in words is "four billion, five hundred thirty-one million, nine hundred eighty-three thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 521 704 1042 1408 2084 2816 3089 4168 5731 6178 8336 11462 12356 16672 22924 24712 33344 33979 45848 49424 66688 67958 91696 98848 133376 135916 183392 197696 271832 366784 395392 543664 733568 790784 1087328 1467136 1609369 2174656 3218738 4349312 6437476 8698624 12874952 17703059 25749904 35406118 51499808 70812236 102999616 141624472 205999232 283248944 411998464 566497888 1132995776 2265991552 4531983104