Search a number
-
+
4984065648 = 243311819769
BaseRepresentation
bin1001010010001001…
…01100111001110000
3110212100101202202000
410221010230321300
540201410100043
62142321454000
7234336600432
oct45104547160
913770352660
104984065648
112128414321
12b711a1300
1361576cb93
14353d14652
151e285a2d3
hex12912ce70

4984065648 has 80 divisors (see below), whose sum is σ = 14319693600. Its totient is φ = 1659778560.

The previous prime is 4984065643. The next prime is 4984065679. The reversal of 4984065648 is 8465604894.

It is a super-3 number, since 3×49840656483 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 4984065594 and 4984065603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4984065643) 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, 505308 + ... + 515076.

It is an arithmetic number, because the mean of its divisors is an integer number (178996170).

Almost surely, 24984065648 is an apocalyptic number.

4984065648 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4984065648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7159846800).

4984065648 is an abundant number, since it is smaller than the sum of its proper divisors (9335627952).

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

4984065648 is a wasteful number, since it uses less digits than its factorization.

4984065648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10967 (or 10955 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The square root of 4984065648 is about 70597.9153233295. The cubic root of 4984065648 is about 1708.1575230366.

The spelling of 4984065648 in words is "four billion, nine hundred eighty-four million, sixty-five thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 1181 2362 3543 4724 7086 9448 9769 10629 14172 18896 19538 21258 28344 29307 31887 39076 42516 56688 58614 63774 78152 85032 87921 117228 127548 156304 170064 175842 234456 255096 263763 351684 468912 510192 527526 703368 1055052 1406736 2110104 4220208 11537189 23074378 34611567 46148756 69223134 92297512 103834701 138446268 184595024 207669402 276892536 311504103 415338804 553785072 623008206 830677608 1246016412 1661355216 2492032824 4984065648