Search a number
-
+
4553807040 = 26345175687
BaseRepresentation
bin1000011110110110…
…11001010011000000
3102202100210100220000
410033123121103000
533311233311130
62031511520000
7220563502236
oct41733312300
912670710800
104553807040
111a275616a2
12a71089000
135775959a3
14312b14956
151b9bbb260
hex10f6d94c0

4553807040 has 140 divisors (see below), whose sum is σ = 16198784976. Its totient is φ = 1214341632.

The previous prime is 4553807021. The next prime is 4553807047. The reversal of 4553807040 is 407083554.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4553806986 and 4553807004.

It is not an unprimeable number, because it can be changed into a prime (4553807047) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 61924 + ... + 113763.

Almost surely, 24553807040 is an apocalyptic number.

4553807040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4553807040 is an abundant number, since it is smaller than the sum of its proper divisors (11644977936).

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

4553807040 is a wasteful number, since it uses less digits than its factorization.

4553807040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175716 (or 175697 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 4553807040 is about 67481.9015736812. The cubic root of 4553807040 is about 1657.5178270436.

The spelling of 4553807040 in words is "four billion, five hundred fifty-three million, eight hundred seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 108 120 135 144 160 162 180 192 216 240 270 288 320 324 360 405 432 480 540 576 648 720 810 864 960 1080 1296 1440 1620 1728 2160 2592 2880 3240 4320 5184 6480 8640 12960 25920 175687 351374 527061 702748 878435 1054122 1405496 1581183 1756870 2108244 2635305 2810992 3162366 3513740 4216488 4743549 5270610 5621984 6324732 7027480 7905915 8432976 9487098 10541220 11243968 12649464 14054960 14230647 15811830 16865952 18974196 21082440 23717745 25298928 28109920 28461294 31623660 33731904 37948392 42164880 47435490 50597856 56219840 56922588 63247320 71153235 75896784 84329760 94870980 101195712 113845176 126494640 142306470 151793568 168659520 189741960 227690352 252989280 284612940 303587136 379483920 455380704 505978560 569225880 758967840 910761408 1138451760 1517935680 2276903520 4553807040