Search a number
-
+
4704808140 = 223251712311249
BaseRepresentation
bin1000110000110110…
…11010110011001100
3110010212221000110100
410120123122303030
534113412330030
62054504211100
7224406131544
oct43033326314
913125830410
104704808140
111aa4817a9a
12ab3769a90
1359c955456
14328bc0324
151c8097360
hex1186daccc

4704808140 has 144 divisors (see below), whose sum is σ = 15135120000. Its totient is φ = 1178910720.

The previous prime is 4704808111. The next prime is 4704808151. The reversal of 4704808140 is 418084074.

It is a happy number.

4704808140 is a `hidden beast` number, since 470 + 48 + 0 + 8 + 140 = 666.

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 = 4704808095 and 4704808104.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3766236 + ... + 3767484.

It is an arithmetic number, because the mean of its divisors is an integer number (105105000).

Almost surely, 24704808140 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 4704808140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7567560000).

4704808140 is an abundant number, since it is smaller than the sum of its proper divisors (10430311860).

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

4704808140 is a wasteful number, since it uses less digits than its factorization.

4704808140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2512 (or 2507 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 4704808140 is about 68591.6040051550. The cubic root of 4704808140 is about 1675.6396921040.

The spelling of 4704808140 in words is "four billion, seven hundred four million, eight hundred eight thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1231 1249 1530 2462 2498 3060 3693 3747 4924 4996 6155 6245 7386 7494 11079 11241 12310 12490 14772 14988 18465 18735 20927 21233 22158 22482 24620 24980 36930 37470 41854 42466 44316 44964 55395 56205 62781 63699 73860 74940 83708 84932 104635 106165 110790 112410 125562 127398 188343 191097 209270 212330 221580 224820 251124 254796 313905 318495 376686 382194 418540 424660 627810 636990 753372 764388 941715 955485 1255620 1273980 1537519 1883430 1910970 3075038 3766860 3821940 4612557 6150076 7687595 9225114 13837671 15375190 18450228 23062785 26137823 27675342 30750380 46125570 52275646 55350684 69188355 78413469 92251140 104551292 130689115 138376710 156826938 235240407 261378230 276753420 313653876 392067345 470480814 522756460 784134690 940961628 1176202035 1568269380 2352404070 4704808140