Search a number
-
+
4936948752 = 2431920992579
BaseRepresentation
bin1001001100100001…
…11101110000010000
3110202001201222111210
410212100331300100
540102324330002
62133515540120
7233225241411
oct44620756020
913661658453
104936948752
11210386273a
12b5945a640
13608a83b68
1434b96b808
151dd64e96c
hex12643dc10

4936948752 has 80 divisors (see below), whose sum is σ = 13436640000. Its totient is φ = 1557689472.

The previous prime is 4936948729. The next prime is 4936948759. The reversal of 4936948752 is 2578496394.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a junction number, because it is equal to n+sod(n) for n = 4936948692 and 4936948701.

It is not an unprimeable number, because it can be changed into a prime (4936948759) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1912999 + ... + 1915577.

It is an arithmetic number, because the mean of its divisors is an integer number (167958000).

Almost surely, 24936948752 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 4936948752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6718320000).

4936948752 is an abundant number, since it is smaller than the sum of its proper divisors (8499691248).

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

4936948752 is a wasteful number, since it uses less digits than its factorization.

4936948752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4708 (or 4702 counting only the distinct ones).

The product of its digits is 13063680, while the sum is 57.

The square root of 4936948752 is about 70263.4239985499. The cubic root of 4936948752 is about 1702.7577789812.

The spelling of 4936948752 in words is "four billion, nine hundred thirty-six million, nine hundred forty-eight thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 912 2099 2579 4198 5158 6297 7737 8396 10316 12594 15474 16792 20632 25188 30948 33584 39881 41264 49001 50376 61896 79762 98002 100752 119643 123792 147003 159524 196004 239286 294006 319048 392008 478572 588012 638096 784016 957144 1176024 1914288 2352048 5413321 10826642 16239963 21653284 32479926 43306568 64959852 86613136 102853099 129919704 205706198 259839408 308559297 411412396 617118594 822824792 1234237188 1645649584 2468474376 4936948752