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545862240 = 25345711547
BaseRepresentation
bin100000100010010…
…011001001100000
31102001010200020000
4200202103021200
52104220042430
6130055420000
716345516050
oct4042231140
91361120200
10545862240
11260141420
12132984600
1389122011
14526d3560
1532dc6e60
hex20893260

545862240 has 480 divisors, whose sum is σ = 2406184704. Its totient is φ = 113218560.

The previous prime is 545862217. The next prime is 545862241. The reversal of 545862240 is 42268545.

It is a happy number.

545862240 is a `hidden beast` number, since 54 + 586 + 2 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a junction number, because it is equal to n+sod(n) for n = 545862195 and 545862204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (545862241) 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, 997647 + ... + 998193.

Almost surely, 2545862240 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 545862240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1203092352).

545862240 is an abundant number, since it is smaller than the sum of its proper divisors (1860322464).

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

545862240 is a wasteful number, since it uses less digits than its factorization.

545862240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 545862240 is about 23363.6949132623. The cubic root of 545862240 is about 817.2614572086.

The spelling of 545862240 in words is "five hundred forty-five million, eight hundred sixty-two thousand, two hundred forty".