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3878665728 = 29371512389
BaseRepresentation
bin1110011100101111…
…1011111000000000
3101000022101122010020
43213023323320000
530420414300403
61440513133440
7165055054230
oct34713737000
911008348106
103878665728
111710450a73
12902b5a280
1349a74b3a2
1428b1abcc0
1517a7a9453
hexe72fbe00

3878665728 has 160 divisors (see below), whose sum is σ = 11892334080. Its totient is φ = 1100390400.

The previous prime is 3878665699. The next prime is 3878665733. The reversal of 3878665728 is 8275668783.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1622358 + ... + 1624746.

It is an arithmetic number, because the mean of its divisors is an integer number (74327088).

Almost surely, 23878665728 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 3878665728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5946167040).

3878665728 is an abundant number, since it is smaller than the sum of its proper divisors (8013668352).

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

3878665728 is a wasteful number, since it uses less digits than its factorization.

3878665728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2568 (or 2552 counting only the distinct ones).

The product of its digits is 27095040, while the sum is 60.

The square root of 3878665728 is about 62278.9348656510. The cubic root of 3878665728 is about 1571.1854581415.

The spelling of 3878665728 in words is "three billion, eight hundred seventy-eight million, six hundred sixty-five thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 151 168 192 224 256 302 336 384 448 453 512 604 672 768 896 906 1057 1208 1344 1536 1792 1812 2114 2389 2416 2688 3171 3584 3624 4228 4778 4832 5376 6342 7167 7248 8456 9556 9664 10752 12684 14334 14496 16723 16912 19112 19328 25368 28668 28992 33446 33824 38224 38656 50169 50736 57336 57984 66892 67648 76448 77312 100338 101472 114672 115968 133784 135296 152896 200676 202944 229344 231936 267568 270592 305792 360739 401352 405888 458688 535136 541184 611584 721478 802704 811776 917376 1070272 1082217 1223168 1442956 1605408 1623552 1834752 2140544 2164434 2525173 2885912 3210816 3669504 4281088 4328868 5050346 5771824 6421632 7575519 8562176 8657736 10100692 11543648 12843264 15151038 17315472 20201384 23087296 25686528 30302076 34630944 40402768 46174592 60604152 69261888 80805536 92349184 121208304 138523776 161611072 184698368 242416608 277047552 323222144 484833216 554095104 646444288 969666432 1292888576 1939332864 3878665728