Search a number
-
+
4778555340 = 22351312748239
BaseRepresentation
bin1000111001101001…
…01111011111001100
3110100000200202121010
410130310233133030
534241302232330
62110101005220
7226263023136
oct43464573714
913300622533
104778555340
112032408399
12b143b3810
135b2006750
143348da056
151ce7b33b0
hex11cd2f7cc

4778555340 has 96 divisors (see below), whose sum is σ = 14522941440. Its totient is φ = 1166973696.

The previous prime is 4778555339. The next prime is 4778555401. The reversal of 4778555340 is 435558774.

It is a super-2 number, since 2×47785553402 = 45669182274885031200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4778555340.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74941 + ... + 123179.

It is an arithmetic number, because the mean of its divisors is an integer number (151280640).

Almost surely, 24778555340 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 4778555340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7261470720).

4778555340 is an abundant number, since it is smaller than the sum of its proper divisors (9744386100).

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

4778555340 is a wasteful number, since it uses less digits than its factorization.

4778555340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48391 (or 48389 counting only the distinct ones).

The product of its (nonzero) digits is 2352000, while the sum is 48.

The square root of 4778555340 is about 69127.0955559396. The cubic root of 4778555340 is about 1684.3494793021.

The spelling of 4778555340 in words is "four billion, seven hundred seventy-eight million, five hundred fifty-five thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 127 130 156 195 254 260 381 390 508 635 762 780 1270 1524 1651 1905 2540 3302 3810 4953 6604 7620 8255 9906 16510 19812 24765 33020 48239 49530 96478 99060 144717 192956 241195 289434 482390 578868 627107 723585 964780 1254214 1447170 1881321 2508428 2894340 3135535 3762642 6126353 6271070 7525284 9406605 12252706 12542140 18379059 18813210 24505412 30631765 36758118 37626420 61263530 73516236 79642589 91895295 122527060 159285178 183790590 238927767 318570356 367581180 398212945 477855534 796425890 955711068 1194638835 1592851780 2389277670 4778555340