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4868372256 = 253115978139
BaseRepresentation
bin1001000100010110…
…10111011100100000
3110120021200221020120
410202023113130200
534432300403011
62123030040240
7231433324056
oct44213273440
913507627216
104868372256
112079084150
12b3a4a9080
135c77c3257
143427da1d6
151d7605a06
hex1222d7720

4868372256 has 96 divisors (see below), whose sum is σ = 14177721600. Its totient is φ = 1450241280.

The previous prime is 4868372251. The next prime is 4868372287. The reversal of 4868372256 is 6522738684.

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

It is a junction number, because it is equal to n+sod(n) for n = 4868372199 and 4868372208.

It is not an unprimeable number, because it can be changed into a prime (4868372251) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23235 + ... + 101373.

It is an arithmetic number, because the mean of its divisors is an integer number (147684600).

Almost surely, 24868372256 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 4868372256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7088860800).

4868372256 is an abundant number, since it is smaller than the sum of its proper divisors (9309349344).

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

4868372256 is a wasteful number, since it uses less digits than its factorization.

4868372256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78222 (or 78214 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 51.

The square root of 4868372256 is about 69773.7218155947. The cubic root of 4868372256 is about 1694.8369599794.

It can be divided in two parts, 48683722 and 56, that added together give a triangular number (48683778 = T9867).

The spelling of 4868372256 in words is "four billion, eight hundred sixty-eight million, three hundred seventy-two thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 59 66 88 96 118 132 176 177 236 264 352 354 472 528 649 708 944 1056 1298 1416 1888 1947 2596 2832 3894 5192 5664 7788 10384 15576 20768 31152 62304 78139 156278 234417 312556 468834 625112 859529 937668 1250224 1719058 1875336 2500448 2578587 3438116 3750672 4610201 5157174 6876232 7501344 9220402 10314348 13752464 13830603 18440804 20628696 27504928 27661206 36881608 41257392 50712211 55322412 73763216 82514784 101424422 110644824 147526432 152136633 202848844 221289648 304273266 405697688 442579296 608546532 811395376 1217093064 1622790752 2434186128 4868372256