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4781689248 = 25377990071
BaseRepresentation
bin1000111010000001…
…01100100110100000
3110100020120222111210
410131000230212200
534243103023443
62110252110120
7226331454660
oct43500544640
913306528453
104781689248
1120341589a6
12b15465340
135b286302b
143350b41a0
151cebd1c33
hex11d02c9a0

4781689248 has 96 divisors (see below), whose sum is σ = 14526812160. Its totient is φ = 1348888320.

The previous prime is 4781689223. The next prime is 4781689261. The reversal of 4781689248 is 8429861874.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8053 + ... + 98123.

It is an arithmetic number, because the mean of its divisors is an integer number (151320960).

Almost surely, 24781689248 is an apocalyptic number.

4781689248 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 4781689248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7263406080).

4781689248 is an abundant number, since it is smaller than the sum of its proper divisors (9745122912).

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

4781689248 is a wasteful number, since it uses less digits than its factorization.

4781689248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90170 (or 90162 counting only the distinct ones).

The product of its digits is 6193152, while the sum is 57.

The square root of 4781689248 is about 69149.7595657425. The cubic root of 4781689248 is about 1684.7176130722.

The spelling of 4781689248 in words is "four billion, seven hundred eighty-one million, six hundred eighty-nine thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 79 84 96 112 158 168 224 237 316 336 474 553 632 672 948 1106 1264 1659 1896 2212 2528 3318 3792 4424 6636 7584 8848 13272 17696 26544 53088 90071 180142 270213 360284 540426 630497 720568 1080852 1260994 1441136 1891491 2161704 2521988 2882272 3782982 4323408 5043976 7115609 7565964 8646816 10087952 14231218 15131928 20175904 21346827 28462436 30263856 42693654 49809263 56924872 60527712 85387308 99618526 113849744 149427789 170774616 199237052 227699488 298855578 341549232 398474104 597711156 683098464 796948208 1195422312 1593896416 2390844624 4781689248