Search a number
-
+
2885936144 = 247313192129
BaseRepresentation
bin1010110000000011…
…1110010000010000
321110010101202010212
42230000332100100
521402244424034
61154211343252
7131342024000
oct25400762020
97403352125
102885936144
1112510435a3
126865b1b28
1336cb88530
141d53d4000
1511d5622ce
hexac03e410

2885936144 has 160 divisors (see below), whose sum is σ = 7395360000. Its totient is φ = 1081092096.

The previous prime is 2885936129. The next prime is 2885936147. The reversal of 2885936144 is 4416395882.

It is a junction number, because it is equal to n+sod(n) for n = 2885936092 and 2885936101.

It is not an unprimeable number, because it can be changed into a prime (2885936147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1354472 + ... + 1356600.

It is an arithmetic number, because the mean of its divisors is an integer number (46221000).

Almost surely, 22885936144 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 2885936144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3697680000).

2885936144 is an abundant number, since it is smaller than the sum of its proper divisors (4509423856).

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

2885936144 is a wasteful number, since it uses less digits than its factorization.

2885936144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2190 (or 2170 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 50.

The square root of 2885936144 is about 53720.9097465782. The cubic root of 2885936144 is about 1423.7341616491.

The spelling of 2885936144 in words is "two billion, eight hundred eighty-five million, nine hundred thirty-six thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 13 14 16 19 26 28 38 49 52 56 76 91 98 104 112 133 152 182 196 208 247 266 304 343 364 392 494 532 637 686 728 784 931 988 1064 1274 1372 1456 1729 1862 1976 2128 2129 2548 2744 3458 3724 3952 4258 4459 5096 5488 6517 6916 7448 8516 8918 10192 12103 13034 13832 14896 14903 17032 17836 24206 26068 27664 27677 29806 34064 35672 40451 48412 52136 55354 59612 71344 80902 84721 96824 104272 104321 110708 119224 161804 169442 193648 193739 208642 221416 238448 283157 323608 338884 387478 417284 442832 525863 566314 647216 677768 730247 774956 834568 1051726 1132628 1355536 1356173 1460494 1549912 1669136 1982099 2103452 2265256 2712346 2920988 3099824 3681041 3964198 4206904 4530512 5424692 5841976 7362082 7928396 8413808 9493211 10849384 11683952 13874693 14724164 15856792 18986422 21698768 25767287 27749386 29448328 31713584 37972844 51534574 55498772 58896656 75945688 103069148 110997544 151891376 180371009 206138296 221995088 360742018 412276592 721484036 1442968072 2885936144