Search a number
-
+
4644382680 = 2332572263287
BaseRepresentation
bin1000101001101001…
…11010011111011000
3102222200020002022100
410110310322133120
534002430221210
62044505123400
7223043413200
oct42464723730
912880202270
104644382680
111a736a64a3
12a97489560
13590289942
14320b71400
151c2b0d5c0
hex114d3a7d8

4644382680 has 144 divisors (see below), whose sum is σ = 17558676720. Its totient is φ = 1061569152.

The previous prime is 4644382679. The next prime is 4644382733. The reversal of 4644382680 is 862834464.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 114004 + ... + 149283.

It is an arithmetic number, because the mean of its divisors is an integer number (121935255).

Almost surely, 24644382680 is an apocalyptic number.

4644382680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4644382680 is an abundant number, since it is smaller than the sum of its proper divisors (12914294040).

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

4644382680 is a wasteful number, since it uses less digits than its factorization.

4644382680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263318 (or 263304 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The square root of 4644382680 is about 68149.7078497039. The cubic root of 4644382680 is about 1668.4351555157.

The spelling of 4644382680 in words is "four billion, six hundred forty-four million, three hundred eighty-two thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 49 56 60 63 70 72 84 90 98 105 120 126 140 147 168 180 196 210 245 252 280 294 315 360 392 420 441 490 504 588 630 735 840 882 980 1176 1260 1470 1764 1960 2205 2520 2940 3528 4410 5880 8820 17640 263287 526574 789861 1053148 1316435 1579722 1843009 2106296 2369583 2632870 3159444 3686018 3949305 4739166 5265740 5529027 6318888 7372036 7898610 9215045 9478332 10531480 11058054 11847915 12901063 14744072 15797220 16587081 18430090 18956664 22116108 23695830 25802126 27645135 31594440 33174162 36860180 38703189 44232216 47391660 51604252 55290270 64505315 66348324 73720360 77406378 82935405 94783320 103208504 110580540 116109567 129010630 132696648 154812756 165870810 193515945 221161080 232219134 258021260 309625512 331741620 387031890 464438268 516042520 580547835 663483240 774063780 928876536 1161095670 1548127560 2322191340 4644382680