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5004452320 = 255751861
BaseRepresentation
bin1001010100100100…
…11110000111100000
3110220202202111222221
410222102132013200
540222114433240
62144330440424
7235005100000
oct45222360740
913822674887
105004452320
11213897910a
12b77b93114
13619a5a2ba
14356900000
151e4535a4a
hex12a49e1e0

5004452320 has 144 divisors (see below), whose sum is σ = 13800816288. Its totient is φ = 1714890240.

The previous prime is 5004452281. The next prime is 5004452423. The reversal of 5004452320 is 232544005.

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, 2688190 + ... + 2690050.

It is an arithmetic number, because the mean of its divisors is an integer number (95839002).

Almost surely, 25004452320 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 5004452320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6900408144).

5004452320 is an abundant number, since it is smaller than the sum of its proper divisors (8796363968).

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

5004452320 is an frugal number, since it uses more digits than its factorization.

5004452320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1911 (or 1875 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

The square root of 5004452320 is about 70742.1537698705. The cubic root of 5004452320 is about 1710.4833534378.

Adding to 5004452320 its reverse (232544005), we get a palindrome (5236996325).

The spelling of 5004452320 in words is "five billion, four million, four hundred fifty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 70 80 98 112 140 160 196 224 245 280 343 392 490 560 686 784 980 1120 1372 1568 1715 1861 1960 2401 2744 3430 3722 3920 4802 5488 6860 7444 7840 9305 9604 10976 12005 13027 13720 14888 16807 18610 19208 24010 26054 27440 29776 33614 37220 38416 48020 52108 54880 59552 65135 67228 74440 76832 84035 91189 96040 104216 130270 134456 148880 168070 182378 192080 208432 260540 268912 297760 336140 364756 384160 416864 455945 521080 537824 638323 672280 729512 911890 1042160 1276646 1344560 1459024 1823780 2084320 2553292 2689120 2918048 3191615 3647560 4468261 5106584 6383230 7295120 8936522 10213168 12766460 14590240 17873044 20426336 22341305 25532920 31277827 35746088 44682610 51065840 62555654 71492176 89365220 102131680 125111308 142984352 156389135 178730440 250222616 312778270 357460880 500445232 625556540 714921760 1000890464 1251113080 2502226160 5004452320