Search a number
-
+
4920782832 = 243377322291
BaseRepresentation
bin1001001010100110…
…10010111111110000
3110200221022200001000
410211103102333300
540034210022312
62132141242000
7232640651430
oct44523227760
913627280030
104920782832
1120a5720a79
12b53b63300
13605613924
143497602c0
151dc009adc
hex1254d2ff0

4920782832 has 160 divisors (see below), whose sum is σ = 16364111360. Its totient is φ = 1386616320.

The previous prime is 4920782809. The next prime is 4920782833. The reversal of 4920782832 is 2382870294.

4920782832 is a `hidden beast` number, since 492 + 0 + 7 + 82 + 83 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4920782833) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 209607 + ... + 231897.

It is an arithmetic number, because the mean of its divisors is an integer number (102275696).

Almost surely, 24920782832 is an apocalyptic number.

4920782832 is a gapful number since it is divisible by the number (42) 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 4920782832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8182055680).

4920782832 is an abundant number, since it is smaller than the sum of its proper divisors (11443328528).

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

4920782832 is a wasteful number, since it uses less digits than its factorization.

4920782832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22388 (or 22376 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 4920782832 is about 70148.2917254583. The cubic root of 4920782832 is about 1700.8972002237.

The spelling of 4920782832 in words is "four billion, nine hundred twenty million, seven hundred eighty-two thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 73 84 108 112 126 144 146 168 189 216 219 252 292 336 378 432 438 504 511 584 657 756 876 1008 1022 1168 1314 1512 1533 1752 1971 2044 2628 3024 3066 3504 3942 4088 4599 5256 6132 7884 8176 9198 10512 12264 13797 15768 18396 22291 24528 27594 31536 36792 44582 55188 66873 73584 89164 110376 133746 156037 178328 200619 220752 267492 312074 356656 401238 468111 534984 601857 624148 802476 936222 1069968 1203714 1248296 1404333 1604952 1627243 1872444 2407428 2496592 2808666 3209904 3254486 3744888 4212999 4814856 4881729 5617332 6508972 7489776 8425998 9629712 9763458 11234664 11390701 13017944 14645187 16851996 19526916 22469328 22781402 26035888 29290374 33703992 34172103 39053832 43935561 45562804 58580748 67407984 68344206 78107664 87871122 91125608 102516309 117161496 136688412 175742244 182251216 205032618 234322992 273376824 307548927 351484488 410065236 546753648 615097854 702968976 820130472 1230195708 1640260944 2460391416 4920782832