Search a number
-
+
545774544 = 243372192359
BaseRepresentation
bin100000100001111…
…101101111010000
31102000222012221000
4200201331233100
52104204241134
6130053502000
716345002300
oct4041755720
91360865830
10545774544
11260091547
12132941900
13890c1123
14526ad600
1532daae99
hex2087dbd0

545774544 has 480 divisors, whose sum is σ = 2035584000. Its totient is φ = 138910464.

The previous prime is 545774543. The next prime is 545774573. The reversal of 545774544 is 445477545.

545774544 is a `hidden beast` number, since 54 + 57 + 7 + 4 + 544 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 545774544.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (545774543) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9250387 + ... + 9250445.

It is an arithmetic number, because the mean of its divisors is an integer number (4240800).

Almost surely, 2545774544 is an apocalyptic number.

545774544 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 545774544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1017792000).

545774544 is an abundant number, since it is smaller than the sum of its proper divisors (1489809456).

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

545774544 is a wasteful number, since it uses less digits than its factorization.

545774544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 113 counting only the distinct ones).

The product of its digits is 1568000, while the sum is 45.

The square root of 545774544 is about 23361.8180799355. The cubic root of 545774544 is about 817.2176889010.

The spelling of 545774544 in words is "five hundred forty-five million, seven hundred seventy-four thousand, five hundred forty-four".