Search a number
-
+
545301504 = 21033112163
BaseRepresentation
bin100000100000001…
…010010000000000
31102000002012001000
4200200022100000
52104044122004
6130035412000
716340662206
oct4040122000
91360065030
10545301504
1125a899100
12132754000
1388c86a17
14525c9076
1532d15c39
hex2080a400

545301504 has 264 divisors, whose sum is σ = 1785966560. Its totient is φ = 164229120.

The previous prime is 545301499. The next prime is 545301553. The reversal of 545301504 is 405103545.

It is a tau number, because it is divible by the number of its divisors (264).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3345327 + ... + 3345489.

Almost surely, 2545301504 is an apocalyptic number.

545301504 is a gapful number since it is divisible by the number (54) 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 545301504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (892983280).

545301504 is an abundant number, since it is smaller than the sum of its proper divisors (1240665056).

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

545301504 is a wasteful number, since it uses less digits than its factorization.

545301504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 545301504 is about 23351.6916731958. The cubic root of 545301504 is about 816.9815178791.

The spelling of 545301504 in words is "five hundred forty-five million, three hundred one thousand, five hundred four".