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545496672 = 25377191129
BaseRepresentation
bin100000100000111…
…001111001100000
31102000110002202110
4200200321321200
52104121343142
6130043515320
716342434210
oct4040717140
91360402673
10545496672
1125aa117a6
12132828b40
13890247c6
145263a240
1532d5399c
hex20839e60

545496672 has 96 divisors (see below), whose sum is σ = 1640217600. Its totient is φ = 155501568.

The previous prime is 545496671. The next prime is 545496673. The reversal of 545496672 is 276694545.

It is an interprime number because it is at equal distance from previous prime (545496671) and next prime (545496673).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (545496671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 482604 + ... + 483732.

It is an arithmetic number, because the mean of its divisors is an integer number (17085600).

Almost surely, 2545496672 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 545496672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (820108800).

545496672 is an abundant number, since it is smaller than the sum of its proper divisors (1094720928).

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

545496672 is a wasteful number, since it uses less digits than its factorization.

545496672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1868 (or 1860 counting only the distinct ones).

The product of its digits is 1814400, while the sum is 48.

The square root of 545496672 is about 23355.8701828898. The cubic root of 545496672 is about 817.0789744414.

The spelling of 545496672 in words is "five hundred forty-five million, four hundred ninety-six thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 719 1129 1438 2157 2258 2876 3387 4314 4516 5033 5752 6774 7903 8628 9032 10066 11504 13548 15099 15806 17256 18064 20132 23008 23709 27096 30198 31612 34512 36128 40264 47418 54192 60396 63224 69024 80528 94836 108384 120792 126448 161056 189672 241584 252896 379344 483168 758688 811751 1623502 2435253 3247004 4870506 5682257 6494008 9741012 11364514 12988016 17046771 19482024 22729028 25976032 34093542 38964048 45458056 68187084 77928096 90916112 136374168 181832224 272748336 545496672