Search a number
-
+
43552858848 = 25310713013259
BaseRepresentation
bin101000100011111100…
…111110001011100000
311011102021101110121020
4220203330332023200
51203144012440343
632001412525440
73101165122602
oct504374761340
9134367343536
1043552858848
111751a4a9524
128535920880
1341511685c5
1421723a9172
1511ed885b83
hexa23f3e2e0

43552858848 has 96 divisors (see below), whose sum is σ = 115518856320. Its totient is φ = 14366476800.

The previous prime is 43552858847. The next prime is 43552858907. The reversal of 43552858848 is 84885825534.

It is a happy number.

43552858848 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 43552858791 and 43552858800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43552858847) 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, 13362243 + ... + 13365501.

It is an arithmetic number, because the mean of its divisors is an integer number (1203321420).

Almost surely, 243552858848 is an apocalyptic number.

43552858848 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 43552858848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57759428160).

43552858848 is an abundant number, since it is smaller than the sum of its proper divisors (71965997472).

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

43552858848 is a wasteful number, since it uses less digits than its factorization.

43552858848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4680 (or 4672 counting only the distinct ones).

The product of its digits is 49152000, while the sum is 60.

The spelling of 43552858848 in words is "forty-three billion, five hundred fifty-two million, eight hundred fifty-eight thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 107 214 321 428 642 856 1284 1301 1712 2568 2602 3259 3424 3903 5136 5204 6518 7806 9777 10272 10408 13036 15612 19554 20816 26072 31224 39108 41632 52144 62448 78216 104288 124896 139207 156432 278414 312864 348713 417621 556828 697426 835242 1046139 1113656 1394852 1670484 2092278 2227312 2789704 3340968 4184556 4239959 4454624 5579408 6681936 8369112 8479918 11158816 12719877 13363872 16738224 16959836 25439754 33476448 33919672 50879508 67839344 101759016 135678688 203518032 407036064 453675613 907351226 1361026839 1814702452 2722053678 3629404904 5444107356 7258809808 10888214712 14517619616 21776429424 43552858848