Search a number
-
+
532615352240 = 245193789971097
BaseRepresentation
bin1111100000000100101…
…10010100111110110000
31212220202212202021102102
413300002112110332300
532211244012232430
61044402523235532
753323463540006
oct7600226247660
91786685667372
10532615352240
11195976532364
1287283978ba8
133b2c12cc87a
141bac8b48a76
15dcc4171345
hex7c02594fb0

532615352240 has 320 divisors, whose sum is σ = 1368981129600. Its totient is φ = 191994789888.

The previous prime is 532615352233. The next prime is 532615352249. The reversal of 532615352240 is 42253516235.

It is a super-2 number, since 2×5326153522402 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 532615352194 and 532615352203.

It is not an unprimeable number, because it can be changed into a prime (532615352249) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 485519372 + ... + 485520468.

It is an arithmetic number, because the mean of its divisors is an integer number (4278066030).

Almost surely, 2532615352240 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 532615352240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684490564800).

532615352240 is an abundant number, since it is smaller than the sum of its proper divisors (836365777360).

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

532615352240 is a wasteful number, since it uses less digits than its factorization.

532615352240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1352 (or 1346 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 38.

Adding to 532615352240 its reverse (42253516235), we get a palindrome (574868868475).

The spelling of 532615352240 in words is "five hundred thirty-two billion, six hundred fifteen million, three hundred fifty-two thousand, two hundred forty".