Search a number
-
+
2757093216 = 253411375113
BaseRepresentation
bin1010010001010101…
…1110011101100000
321010010221211212120
42210111132131200
521121303440331
61133330024240
7125215622433
oct24425363540
97103854776
102757093216
111195341a39
1264b418080
1334c286607
141c225581a
151120b1796
hexa455e760

2757093216 has 96 divisors (see below), whose sum is σ = 7469467488. Its totient is φ = 889896960.

The previous prime is 2757093193. The next prime is 2757093247. The reversal of 2757093216 is 6123907572.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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, 536676 + ... + 541788.

It is an arithmetic number, because the mean of its divisors is an integer number (77806953).

Almost surely, 22757093216 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 2757093216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3734733744).

2757093216 is an abundant number, since it is smaller than the sum of its proper divisors (4712374272).

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

2757093216 is a wasteful number, since it uses less digits than its factorization.

2757093216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5304 (or 5296 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 42.

The square root of 2757093216 is about 52508.0300144654. The cubic root of 2757093216 is about 1402.2232050884.

It can be divided in two parts, 27570 and 93216, that added together give a triangular number (120786 = T491).

The spelling of 2757093216 in words is "two billion, seven hundred fifty-seven million, ninety-three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 82 96 123 137 164 246 274 328 411 492 548 656 822 984 1096 1312 1644 1968 2192 3288 3936 4384 5113 5617 6576 10226 11234 13152 15339 16851 20452 22468 30678 33702 40904 44936 61356 67404 81808 89872 122712 134808 163616 179744 209633 245424 269616 419266 490848 539232 628899 700481 838532 1257798 1400962 1677064 2101443 2515596 2801924 3354128 4202886 5031192 5603848 6708256 8405772 10062384 11207696 16811544 20124768 22415392 28719721 33623088 57439442 67246176 86159163 114878884 172318326 229757768 344636652 459515536 689273304 919031072 1378546608 2757093216