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4382620740 = 22325175212749
BaseRepresentation
bin1000001010011100…
…10111110001000100
3102022102200012102200
410011032113301010
532433422330430
62002514434500
7213414442641
oct40516276104
912272605380
104382620740
111949969913
12a23892a30
1354ac89714
142d80b2dc8
151a9b54460
hex105397c44

4382620740 has 144 divisors (see below), whose sum is σ = 14108094000. Its totient is φ = 1097441280.

The previous prime is 4382620717. The next prime is 4382620741. The reversal of 4382620740 is 470262834.

It can be written as a sum of positive squares in 8 ways, for example, as 267911424 + 4114709316 = 16368^2 + 64146^2 .

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 = 4382620695 and 4382620704.

It is not an unprimeable number, because it can be changed into a prime (4382620741) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1592886 + ... + 1595634.

It is an arithmetic number, because the mean of its divisors is an integer number (97972875).

Almost surely, 24382620740 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 4382620740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7054047000).

4382620740 is an abundant number, since it is smaller than the sum of its proper divisors (9725473260).

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

4382620740 is a wasteful number, since it uses less digits than its factorization.

4382620740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3302 (or 3297 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 4382620740 is about 66201.3650916656. The cubic root of 4382620740 is about 1636.4822402754.

The spelling of 4382620740 in words is "four billion, three hundred eighty-two million, six hundred twenty thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 521 612 765 1020 1042 1530 1563 2084 2605 2749 3060 3126 4689 5210 5498 6252 7815 8247 8857 9378 10420 10996 13745 15630 16494 17714 18756 23445 24741 26571 27490 31260 32988 35428 41235 44285 46733 46890 49482 53142 54980 79713 82470 88570 93466 93780 98964 106284 123705 132855 140199 159426 164940 177140 186932 233665 247410 265710 280398 318852 398565 420597 467330 494820 531420 560796 700995 797130 841194 934660 1401990 1432229 1594260 1682388 2102985 2803980 2864458 4205970 4296687 5728916 7161145 8411940 8593374 12890061 14322290 17186748 21483435 24347893 25780122 28644580 42966870 48695786 51560244 64450305 73043679 85933740 97391572 121739465 128900610 146087358 219131037 243478930 257801220 292174716 365218395 438262074 486957860 730436790 876524148 1095655185 1460873580 2191310370 4382620740