Search a number
-
+
745508016 = 2433111923359
BaseRepresentation
bin101100011011111…
…000110010110000
31220221210201202000
4230123320302300
53011322224031
6201550454000
724321466521
oct5433706260
91827721660
10745508016
11352902230
12189804300
13bb5b4006
1471022848
15456b13e6
hex2c6f8cb0

745508016 has 320 divisors, whose sum is σ = 2571264000. Its totient is φ = 204145920.

The previous prime is 745508009. The next prime is 745508051. The reversal of 745508016 is 610805547.

745508016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2076445 + ... + 2076803.

It is an arithmetic number, because the mean of its divisors is an integer number (8035200).

Almost surely, 2745508016 is an apocalyptic number.

745508016 is a gapful number since it is divisible by the number (76) 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 745508016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1285632000).

745508016 is an abundant number, since it is smaller than the sum of its proper divisors (1825755984).

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

745508016 is a wasteful number, since it uses less digits than its factorization.

745508016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 745508016 is about 27303.9926750649. The cubic root of 745508016 is about 906.7427793178.

The spelling of 745508016 in words is "seven hundred forty-five million, five hundred eight thousand, sixteen".