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4900679728 = 247319431093
BaseRepresentation
bin1001001000001101…
…00111000000110000
3110122112111022202121
410210012213000300
540014033222403
62130142324024
7232305043000
oct44406470060
913575438677
104900679728
11209534023a
12b49289614
136013c55b9
14346c0a000
151da3883bd
hex1241a7030

4900679728 has 160 divisors (see below), whose sum is σ = 11937728000. Its totient is φ = 1941698304.

The previous prime is 4900679723. The next prime is 4900679761. The reversal of 4900679728 is 8279760094.

It is not an unprimeable number, because it can be changed into a prime (4900679723) 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 31 ways as a sum of consecutive naturals, for example, 4483150 + ... + 4484242.

It is an arithmetic number, because the mean of its divisors is an integer number (74610800).

Almost surely, 24900679728 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 4900679728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5968864000).

4900679728 is an abundant number, since it is smaller than the sum of its proper divisors (7037048272).

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

4900679728 is a wasteful number, since it uses less digits than its factorization.

4900679728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1184 (or 1164 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 52.

The square root of 4900679728 is about 70004.8550316333. The cubic root of 4900679728 is about 1698.5777872159.

The spelling of 4900679728 in words is "four billion, nine hundred million, six hundred seventy-nine thousand, seven hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 19 28 38 43 49 56 76 86 98 112 133 152 172 196 266 301 304 343 344 392 532 602 686 688 784 817 931 1064 1093 1204 1372 1634 1862 2107 2128 2186 2408 2744 3268 3724 4214 4372 4816 5488 5719 6517 6536 7448 7651 8428 8744 11438 13034 13072 14749 14896 15302 16856 17488 20767 22876 26068 29498 30604 33712 40033 41534 45752 46999 52136 53557 58996 61208 80066 83068 91504 93998 104272 107114 117992 122416 145369 160132 166136 187996 214228 235984 280231 290738 320264 328993 332272 374899 375992 428456 560462 581476 640528 657986 749798 751984 856912 892981 1017583 1120924 1162952 1315972 1499596 1785962 2035166 2241848 2302951 2325904 2631944 2999192 3571924 4070332 4483696 4605902 5263888 5998384 6250867 7123081 7143848 8140664 9211804 12501734 14246162 14287696 16120657 16281328 18423608 25003468 28492324 32241314 36847216 43756069 50006936 56984648 64482628 87512138 100013872 113969296 128965256 175024276 257930512 306292483 350048552 612584966 700097104 1225169932 2450339864 4900679728