Search a number
-
+
4887513360 = 2432513749549
BaseRepresentation
bin1001000110101000…
…11000100100010000
3110121121201101220100
410203110120210100
540002200411420
62124552212400
7232055115042
oct44324304420
913547641810
104887513360
112088968144
12b4499a100
135cb765752
1434517da92
151d9137190
hex123518910

4887513360 has 120 divisors (see below), whose sum is σ = 16534042200. Its totient is φ = 1293797376.

The previous prime is 4887513341. The next prime is 4887513361. The reversal of 4887513360 is 633157884.

It can be written as a sum of positive squares in 4 ways, for example, as 1356301584 + 3531211776 = 36828^2 + 59424^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is not an unprimeable number, because it can be changed into a prime (4887513361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73866 + ... + 123414.

It is an arithmetic number, because the mean of its divisors is an integer number (137783685).

Almost surely, 24887513360 is an apocalyptic number.

4887513360 is a gapful number since it is divisible by the number (40) 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 4887513360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8267021100).

4887513360 is an abundant number, since it is smaller than the sum of its proper divisors (11646528840).

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

4887513360 is a wasteful number, since it uses less digits than its factorization.

4887513360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49705 (or 49696 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 4887513360 is about 69910.7528210074. The cubic root of 4887513360 is about 1697.0552665645.

The spelling of 4887513360 in words is "four billion, eight hundred eighty-seven million, five hundred thirteen thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 137 144 180 240 274 360 411 548 685 720 822 1096 1233 1370 1644 2055 2192 2466 2740 3288 4110 4932 5480 6165 6576 8220 9864 10960 12330 16440 19728 24660 32880 49320 49549 98640 99098 148647 198196 247745 297294 396392 445941 495490 594588 743235 792784 891882 990980 1189176 1486470 1783764 1981960 2229705 2378352 2972940 3567528 3963920 4459410 5945880 6788213 7135056 8918820 11891760 13576426 17837640 20364639 27152852 33941065 35675280 40729278 54305704 61093917 67882130 81458556 101823195 108611408 122187834 135764260 162917112 203646390 244375668 271528520 305469585 325834224 407292780 488751336 543057040 610939170 814585560 977502672 1221878340 1629171120 2443756680 4887513360