Search a number
-
+
3678565248 = 27324197621
BaseRepresentation
bin1101101101000010…
…0111001110000000
3100111100212110212100
43123100213032000
530013203041443
61405004230400
7160105201011
oct33320471600
910440773770
103678565248
1116184aa576
12867b3b400
1346815a437
1426c7a1008
15167e303d3
hexdb427380

3678565248 has 96 divisors (see below), whose sum is σ = 10612110600. Its totient is φ = 1223101440.

The previous prime is 3678565207. The next prime is 3678565273. The reversal of 3678565248 is 8425658763.

3678565248 is a `hidden beast` number, since 3 + 6 + 78 + 565 + 2 + 4 + 8 = 666.

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

It is a super-3 number, since 3×36785652483 (a number of 30 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3678565194 and 3678565203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 478878 + ... + 486498.

Almost surely, 23678565248 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 3678565248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5306055300).

3678565248 is an abundant number, since it is smaller than the sum of its proper divisors (6933545352).

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

3678565248 is a wasteful number, since it uses less digits than its factorization.

3678565248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8060 (or 8045 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 54.

The square root of 3678565248 is about 60651.1768063902. The cubic root of 3678565248 is about 1543.6878569334.

The spelling of 3678565248 in words is "three billion, six hundred seventy-eight million, five hundred sixty-five thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 419 576 838 1152 1257 1676 2514 3352 3771 5028 6704 7542 7621 10056 13408 15084 15242 20112 22863 26816 30168 30484 40224 45726 53632 60336 60968 68589 80448 91452 120672 121936 137178 160896 182904 241344 243872 274356 365808 482688 487744 548712 731616 975488 1097424 1463232 2194848 2926464 3193199 4389696 6386398 8779392 9579597 12772796 19159194 25545592 28738791 38318388 51091184 57477582 76636776 102182368 114955164 153273552 204364736 229910328 306547104 408729472 459820656 613094208 919641312 1226188416 1839282624 3678565248