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3885064960 = 285738849
BaseRepresentation
bin1110011110010001…
…0110001100000000
3101000202102202012211
43213210112030000
530424034034320
61441302231504
7165163336000
oct34744261400
911022382184
103885064960
111714021897
12905125594
1349bb7c00a
1428bd96000
1517b12055a
hexe7916300

3885064960 has 144 divisors (see below), whose sum is σ = 10853640000. Its totient is φ = 1331871744.

The previous prime is 3885064951. The next prime is 3885064973. The reversal of 3885064960 is 694605883.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 434616 + ... + 443464.

It is an arithmetic number, because the mean of its divisors is an integer number (75372500).

Almost surely, 23885064960 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 3885064960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5426820000).

3885064960 is an abundant number, since it is smaller than the sum of its proper divisors (6968575040).

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

3885064960 is an frugal number, since it uses more digits than its factorization.

3885064960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8891 (or 8863 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 49.

The square root of 3885064960 is about 62330.2892661345. The cubic root of 3885064960 is about 1572.0490588924.

The spelling of 3885064960 in words is "three billion, eight hundred eighty-five million, sixty-four thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 128 140 160 196 224 245 256 280 320 343 392 448 490 560 640 686 784 896 980 1120 1280 1372 1568 1715 1792 1960 2240 2744 3136 3430 3920 4480 5488 6272 6860 7840 8849 8960 10976 12544 13720 15680 17698 21952 27440 31360 35396 43904 44245 54880 61943 62720 70792 87808 88490 109760 123886 141584 176980 219520 247772 283168 309715 353960 433601 439040 495544 566336 619430 707920 867202 991088 1132672 1238860 1415840 1734404 1982176 2168005 2265344 2477720 2831680 3035207 3468808 3964352 4336010 4955440 5663360 6070414 6937616 7928704 8672020 9910880 11326720 12140828 13875232 15176035 15857408 17344040 19821760 24281656 27750464 30352070 34688080 39643520 48563312 55500928 60704140 69376160 79287040 97126624 111001856 121408280 138752320 194253248 242816560 277504640 388506496 485633120 555009280 777012992 971266240 1942532480 3885064960