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3873204480 = 28353132537
BaseRepresentation
bin1110011011011100…
…0110100100000000
3100222221010011200210
43212313012210000
530413020020410
61440200114120
7164660460225
oct34667064400
910887104623
103873204480
111708360942
12901165940
13499588692
1428a58994c
1517a07b220
hexe6dc6900

3873204480 has 144 divisors (see below), whose sum is σ = 12769473024. Its totient is φ = 999505920.

The previous prime is 3873204463. The next prime is 3873204493. The reversal of 3873204480 is 844023783.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102772 + ... + 135308.

It is an arithmetic number, because the mean of its divisors is an integer number (88676896).

Almost surely, 23873204480 is an apocalyptic number.

3873204480 is a gapful number since it is divisible by the number (30) 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 3873204480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6384736512).

3873204480 is an abundant number, since it is smaller than the sum of its proper divisors (8896268544).

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

3873204480 is a wasteful number, since it uses less digits than its factorization.

3873204480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32592 (or 32578 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 39.

The square root of 3873204480 is about 62235.0743552219. The cubic root of 3873204480 is about 1570.4476903594.

The spelling of 3873204480 in words is "three billion, eight hundred seventy-three million, two hundred four thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 64 80 93 96 120 124 128 155 160 186 192 240 248 256 310 320 372 384 465 480 496 620 640 744 768 930 960 992 1240 1280 1488 1860 1920 1984 2480 2976 3720 3840 3968 4960 5952 7440 7936 9920 11904 14880 19840 23808 29760 32537 39680 59520 65074 97611 119040 130148 162685 195222 260296 325370 390444 488055 520592 650740 780888 976110 1008647 1041184 1301480 1561776 1952220 2017294 2082368 2602960 3025941 3123552 3904440 4034588 4164736 5043235 5205920 6051882 6247104 7808880 8069176 8329472 10086470 10411840 12103764 12494208 15129705 15617760 16138352 20172940 20823680 24207528 24988416 30259410 31235520 32276704 40345880 41647360 48415056 60518820 62471040 64553408 80691760 96830112 121037640 124942080 129106816 161383520 193660224 242075280 258213632 322767040 387320448 484150560 645534080 774640896 968301120 1291068160 1936602240 3873204480