Search a number
-
+
4792740096 = 28317438537
BaseRepresentation
bin1000111011010101…
…10110100100000000
3110101000101102102110
410131222312210000
534303420140341
62111325015320
7226524422124
oct43552664400
913330342373
104792740096
11203a416631
12b190b4540
135b4c31cb1
1433674d584
151d0b66216
hex11dab6900

4792740096 has 144 divisors (see below), whose sum is σ = 13821724224. Its totient is φ = 1468465152.

The previous prime is 4792740083. The next prime is 4792740103. The reversal of 4792740096 is 6900472974.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 557140 + ... + 565676.

It is an arithmetic number, because the mean of its divisors is an integer number (95984196).

Almost surely, 24792740096 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 4792740096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6910862112).

4792740096 is an abundant number, since it is smaller than the sum of its proper divisors (9028984128).

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

4792740096 is a wasteful number, since it uses less digits than its factorization.

4792740096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8616 (or 8602 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 48.

The square root of 4792740096 is about 69229.6186324900. The cubic root of 4792740096 is about 1686.0144514549.

The spelling of 4792740096 in words is "four billion, seven hundred ninety-two million, seven hundred forty thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 43 48 51 64 68 86 96 102 128 129 136 172 192 204 256 258 272 344 384 408 516 544 688 731 768 816 1032 1088 1376 1462 1632 2064 2176 2193 2752 2924 3264 4128 4352 4386 5504 5848 6528 8256 8537 8772 11008 11696 13056 16512 17074 17544 23392 25611 33024 34148 35088 46784 51222 68296 70176 93568 102444 136592 140352 145129 187136 204888 273184 280704 290258 367091 409776 435387 546368 561408 580516 734182 819552 870774 1092736 1101273 1161032 1468364 1639104 1741548 2185472 2202546 2322064 2936728 3278208 3483096 4405092 4644128 5873456 6240547 6556416 6966192 8810184 9288256 11746912 12481094 13932384 17620368 18576512 18721641 23493824 24962188 27864768 35240736 37153024 37443282 46987648 49924376 55729536 70481472 74886564 93975296 99848752 111459072 140962944 149773128 199697504 281925888 299546256 399395008 599092512 798790016 1198185024 1597580032 2396370048 4792740096