Search a number
-
+
4538749680 = 243353167783
BaseRepresentation
bin1000011101000011…
…11101001011110000
3102201022110101002000
410032201331023300
533243404442210
62030213054000
7220321510233
oct41641751360
912638411060
104538749680
111a1a0078a3
12a68027300
135744231ca
14310b1541a
151b86e4ac0
hex10e87d2f0

4538749680 has 160 divisors (see below), whose sum is σ = 16138014720. Its totient is φ = 1171272960.

The previous prime is 4538749679. The next prime is 4538749703. The reversal of 4538749680 is 869478354.

4538749680 is a `hidden beast` number, since 4 + 538 + 7 + 49 + 68 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33069 + ... + 100851.

It is an arithmetic number, because the mean of its divisors is an integer number (100862592).

Almost surely, 24538749680 is an apocalyptic number.

4538749680 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 4538749680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8069007360).

4538749680 is an abundant number, since it is smaller than the sum of its proper divisors (11599265040).

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

4538749680 is a wasteful number, since it uses less digits than its factorization.

4538749680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67836 (or 67824 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The square root of 4538749680 is about 67370.2432829213. The cubic root of 4538749680 is about 1655.6889249759.

The spelling of 4538749680 in words is "four billion, five hundred thirty-eight million, seven hundred forty-nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 31 36 40 45 48 54 60 62 72 80 90 93 108 120 124 135 144 155 180 186 216 240 248 270 279 310 360 372 432 465 496 540 558 620 720 744 837 930 1080 1116 1240 1395 1488 1674 1860 2160 2232 2480 2790 3348 3720 4185 4464 5580 6696 7440 8370 11160 13392 16740 22320 33480 66960 67783 135566 203349 271132 338915 406698 542264 610047 677830 813396 1016745 1084528 1220094 1355660 1626792 1830141 2033490 2101273 2440188 2711320 3050235 3253584 3660282 4066980 4202546 4880376 5422640 6100470 6303819 7320564 8133960 8405092 9150705 9760752 10506365 12200940 12607638 14641128 16267920 16810184 18301410 18911457 21012730 24401880 25215276 29282256 31519095 33620368 36602820 37822914 42025460 48803760 50430552 56734371 63038190 73205640 75645828 84050920 94557285 100861104 113468742 126076380 146411280 151291656 168101840 189114570 226937484 252152760 283671855 302583312 378229140 453874968 504305520 567343710 756458280 907749936 1134687420 1512916560 2269374840 4538749680