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4260279696 = 2431723435279
BaseRepresentation
bin1111110111101110…
…1011010110010000
3101222220110122001220
43331323223112100
532211112422241
61542424325040
7210400531341
oct37573532620
911886418056
104260279696
1118968a9212
129aa913780
1352b82307a
142c5b480c8
1519e03a166
hexfdeeb590

4260279696 has 160 divisors (see below), whose sum is σ = 12444917760. Its totient is φ = 1248479232.

The previous prime is 4260279691. The next prime is 4260279697. The reversal of 4260279696 is 6969720624.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (4260279691) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 804385 + ... + 809663.

It is an arithmetic number, because the mean of its divisors is an integer number (77780736).

Almost surely, 24260279696 is an apocalyptic number.

4260279696 is a gapful number since it is divisible by the number (46) 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 4260279696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6222458880).

4260279696 is an abundant number, since it is smaller than the sum of its proper divisors (8184638064).

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

4260279696 is a wasteful number, since it uses less digits than its factorization.

4260279696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5373 (or 5367 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 51.

The square root of 4260279696 is about 65270.8181042646. The cubic root of 4260279696 is about 1621.1108186998.

The spelling of 4260279696 in words is "four billion, two hundred sixty million, two hundred seventy-nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 17 23 24 34 43 46 48 51 68 69 86 92 102 129 136 138 172 184 204 258 272 276 344 368 391 408 516 552 688 731 782 816 989 1032 1104 1173 1462 1564 1978 2064 2193 2346 2924 2967 3128 3956 4386 4692 5279 5848 5934 6256 7912 8772 9384 10558 11696 11868 15824 15837 16813 17544 18768 21116 23736 31674 33626 35088 42232 47472 50439 63348 67252 84464 89743 100878 121417 126696 134504 179486 201756 226997 242834 253392 269008 269229 358972 364251 403512 453994 485668 538458 680991 717944 728502 807024 907988 971336 1076916 1361982 1435888 1457004 1815976 1942672 2064089 2153832 2723964 2914008 3631952 3858949 4128178 4307664 5220931 5447928 5828016 6192267 7717898 8256356 10441862 10895856 11576847 12384534 15435796 15662793 16512712 20883724 23153694 24769068 30871592 31325586 33025424 41767448 46307388 49538136 61743184 62651172 83534896 88755827 92614776 99076272 125302344 177511654 185229552 250604688 266267481 355023308 532534962 710046616 1065069924 1420093232 2130139848 4260279696