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4780944720 = 243258974609
BaseRepresentation
bin1000111001111011…
…10110110101010000
3110100012012011012200
410130331312311100
534242410212340
62110224123200
7226322234226
oct43475666520
913305164180
104780944720
11203379a592
12b15166500
135b2662196
14334d5cb16
151cead6330
hex11cf76d50

4780944720 has 120 divisors (see below), whose sum is σ = 16236628200. Its totient is φ = 1260576768.

The previous prime is 4780944667. The next prime is 4780944737. The reversal of 4780944720 is 274490874.

It can be written as a sum of positive squares in 4 ways, for example, as 930494016 + 3850450704 = 30504^2 + 62052^2 .

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26776 + ... + 101384.

It is an arithmetic number, because the mean of its divisors is an integer number (135305235).

Almost surely, 24780944720 is an apocalyptic number.

4780944720 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 4780944720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8118314100).

4780944720 is an abundant number, since it is smaller than the sum of its proper divisors (11455683480).

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

4780944720 is a wasteful number, since it uses less digits than its factorization.

4780944720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74717 (or 74708 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 4780944720 is about 69144.3759101201. The cubic root of 4780944720 is about 1684.6301694600.

It can be divided in two parts, 47809 and 44720, that added together give a palindrome (92529).

The spelling of 4780944720 in words is "four billion, seven hundred eighty million, nine hundred forty-four thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 89 90 120 144 178 180 240 267 356 360 445 534 712 720 801 890 1068 1335 1424 1602 1780 2136 2670 3204 3560 4005 4272 5340 6408 7120 8010 10680 12816 16020 21360 32040 64080 74609 149218 223827 298436 373045 447654 596872 671481 746090 895308 1119135 1193744 1342962 1492180 1790616 2238270 2685924 2984360 3357405 3581232 4476540 5371848 5968720 6640201 6714810 8953080 10743696 13280402 13429620 17906160 19920603 26560804 26859240 33201005 39841206 53121608 53718480 59761809 66402010 79682412 99603015 106243216 119523618 132804020 159364824 199206030 239047236 265608040 298809045 318729648 398412060 478094472 531216080 597618090 796824120 956188944 1195236180 1593648240 2390472360 4780944720