Search a number
-
+
4534221536 = 2513372231321
BaseRepresentation
bin1000011100100001…
…01011101011100000
3102200222221022121222
410032100223223200
533241230042121
62025532034212
7220235150525
oct41620535340
912628838558
104534221536
111a174a4829
12a66602968
135734c9130
1431029714c
151b80ed0ab
hex10e42bae0

4534221536 has 96 divisors (see below), whose sum is σ = 9925026048. Its totient is φ = 2025492480.

The previous prime is 4534221491. The next prime is 4534221539. The reversal of 4534221536 is 6351224354.

It is a junction number, because it is equal to n+sod(n) for n = 4534221496 and 4534221505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4534221539) 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, 3431756 + ... + 3433076.

It is an arithmetic number, because the mean of its divisors is an integer number (103385688).

Almost surely, 24534221536 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 4534221536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4962513024).

4534221536 is an abundant number, since it is smaller than the sum of its proper divisors (5390804512).

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

4534221536 is a wasteful number, since it uses less digits than its factorization.

4534221536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1604 (or 1596 counting only the distinct ones).

The product of its digits is 86400, while the sum is 35.

The square root of 4534221536 is about 67336.6284870278. The cubic root of 4534221536 is about 1655.1381350735.

The spelling of 4534221536 in words is "four billion, five hundred thirty-four million, two hundred twenty-one thousand, five hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 32 37 52 74 104 148 208 223 296 416 446 481 592 892 962 1184 1321 1784 1924 2642 2899 3568 3848 5284 5798 7136 7696 8251 10568 11596 15392 16502 17173 21136 23192 33004 34346 42272 46384 48877 66008 68692 92768 97754 107263 132016 137384 195508 214526 264032 274768 294583 391016 429052 549536 589166 635401 782032 858104 1178332 1270802 1564064 1716208 2356664 2541604 3432416 3829579 4713328 5083208 7659158 9426656 10166416 10899571 15318316 20332832 21799142 30636632 43598284 61273264 87196568 122546528 141694423 174393136 283388846 348786272 566777692 1133555384 2267110768 4534221536