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4482674820 = 22325134740759
BaseRepresentation
bin1000010110011000…
…00011000010000100
3102120101221110211100
410023030003002010
533140031043240
62020451140100
7216041051541
oct41314030204
912511843740
104482674820
1119a0397a38
12a512a4630
1356591ba10
143074b9bc8
151b3819e30
hex10b303084

4482674820 has 144 divisors (see below), whose sum is σ = 14955333120. Its totient is φ = 1079923968.

The previous prime is 4482674783. The next prime is 4482674821. The reversal of 4482674820 is 284762844.

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 (4482674821) 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, 89601 + ... + 130359.

It is an arithmetic number, because the mean of its divisors is an integer number (103856480).

Almost surely, 24482674820 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 4482674820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7477666560).

4482674820 is an abundant number, since it is smaller than the sum of its proper divisors (10472658300).

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

4482674820 is a wasteful number, since it uses less digits than its factorization.

4482674820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40834 (or 40829 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

The square root of 4482674820 is about 66952.7805247848. The cubic root of 4482674820 is about 1648.8421408503.

The spelling of 4482674820 in words is "four billion, four hundred eighty-two million, six hundred seventy-four thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 47 52 60 65 78 90 94 117 130 141 156 180 188 195 234 235 260 282 390 423 468 470 564 585 611 705 780 846 940 1170 1222 1410 1692 1833 2115 2340 2444 2820 3055 3666 4230 5499 6110 7332 8460 9165 10998 12220 18330 21996 27495 36660 40759 54990 81518 109980 122277 163036 203795 244554 366831 407590 489108 529867 611385 733662 815180 1059734 1222770 1467324 1589601 1834155 1915673 2119468 2445540 2649335 3179202 3668310 3831346 4768803 5298670 5747019 6358404 7336620 7662692 7948005 9537606 9578365 10597340 11494038 15896010 17241057 19075212 19156730 22988076 23844015 24903749 28735095 31792020 34482114 38313460 47688030 49807498 57470190 68964228 74711247 86205285 95376060 99614996 114940380 124518745 149422494 172410570 224133741 249037490 298844988 344821140 373556235 448267482 498074980 747112470 896534964 1120668705 1494224940 2241337410 4482674820