Search a number
-
+
5642622000 = 24345361571
BaseRepresentation
bin1010100000101001…
…11001010000110000
3112120020120220020000
411100110321100300
543024002401000
62331524550000
7256554332001
oct52024712060
915506526200
105642622000
112436127474
121115852300
136bc02b5b2
143b75811a8
15230593000
hex150539430

5642622000 has 400 divisors, whose sum is σ = 20751972384. Its totient is φ = 1477440000.

The previous prime is 5642621987. The next prime is 5642622001. The reversal of 5642622000 is 2262465.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (5642622001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9881715 + ... + 9882285.

Almost surely, 25642622000 is an apocalyptic number.

5642622000 is a gapful number since it is divisible by the number (50) 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 5642622000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10375986192).

5642622000 is an abundant number, since it is smaller than the sum of its proper divisors (15109350384).

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

5642622000 is a wasteful number, since it uses less digits than its factorization.

5642622000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 5642622000 is about 75117.3881335074. The cubic root of 5642622000 is about 1780.3018887874.

Adding to 5642622000 its reverse (2262465), we get a palindrome (5644884465).

The spelling of 5642622000 in words is "five billion, six hundred forty-two million, six hundred twenty-two thousand".