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3800894640 = 2435149157677
BaseRepresentation
bin1110001010001101…
…0000110010110000
3100210220001110020120
43202203100302300
530241012112030
61425054210240
7163122033324
oct34243206260
910726043216
103800894640
111680562444
128a0ab3980
134875bb6aa
14280b25984
15173a46010
hexe28d0cb0

3800894640 has 160 divisors (see below), whose sum is σ = 11955038400. Its totient is φ = 998879232.

The previous prime is 3800894633. The next prime is 3800894651. The reversal of 3800894640 is 464980083.

It is a junction number, because it is equal to n+sod(n) for n = 3800894592 and 3800894601.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5613982 + ... + 5614658.

It is an arithmetic number, because the mean of its divisors is an integer number (74718990).

Almost surely, 23800894640 is an apocalyptic number.

3800894640 is a gapful number since it is divisible by the number (30) 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 3800894640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5977519200).

3800894640 is an abundant number, since it is smaller than the sum of its proper divisors (8154143760).

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

3800894640 is a wasteful number, since it uses less digits than its factorization.

3800894640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 999 (or 993 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 3800894640 is about 61651.3960912484. The cubic root of 3800894640 is about 1560.6132040324.

The spelling of 3800894640 in words is "three billion, eight hundred million, eight hundred ninety-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 149 157 240 298 314 447 471 596 628 677 745 785 894 942 1192 1256 1354 1490 1570 1788 1884 2031 2235 2355 2384 2512 2708 2980 3140 3385 3576 3768 4062 4470 4710 5416 5960 6280 6770 7152 7536 8124 8940 9420 10155 10832 11920 12560 13540 16248 17880 18840 20310 23393 27080 32496 35760 37680 40620 46786 54160 70179 81240 93572 100873 106289 116965 140358 162480 187144 201746 212578 233930 280716 302619 318867 350895 374288 403492 425156 467860 504365 531445 561432 605238 637734 701790 806984 850312 935720 1008730 1062890 1122864 1210476 1275468 1403580 1513095 1594335 1613968 1700624 1871440 2017460 2125780 2420952 2550936 2807160 3026190 3188670 4034920 4251560 4841904 5101872 5614320 6052380 6377340 8069840 8503120 12104760 12754680 15837061 24209520 25509360 31674122 47511183 63348244 79185305 95022366 126696488 158370610 190044732 237555915 253392976 316741220 380089464 475111830 633482440 760178928 950223660 1266964880 1900447320 3800894640