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545040288 = 253213145577
BaseRepresentation
bin100000011111001…
…010011110100000
31101222120220201100
4200133022132200
52104012242123
6130030034400
716335523512
oct4037123640
91358526640
10545040288
1125a72a921
12132648a00
1388bc4b60
145255bbb2
1532cb3643
hex207ca7a0

545040288 has 72 divisors (see below), whose sum is σ = 1669197348. Its totient is φ = 167703552.

The previous prime is 545040277. The next prime is 545040311. The reversal of 545040288 is 882040545.

It can be written as a sum of positive squares in 2 ways, for example, as 541399824 + 3640464 = 23268^2 + 1908^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 69045 + ... + 76532.

Almost surely, 2545040288 is an apocalyptic number.

It is an amenable number.

545040288 is an abundant number, since it is smaller than the sum of its proper divisors (1124157060).

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

545040288 is a wasteful number, since it uses less digits than its factorization.

545040288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145606 (or 145595 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 545040288 is about 23346.0979180676. The cubic root of 545040288 is about 816.8510440476.

The spelling of 545040288 in words is "five hundred forty-five million, forty thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 145577 291154 436731 582308 873462 1164616 1310193 1746924 1892501 2329232 2620386 3493848 3785002 4658464 5240772 5677503 6987696 7570004 10481544 11355006 13975392 15140008 17032509 20963088 22710012 30280016 34065018 41926176 45420024 60560032 68130036 90840048 136260072 181680096 272520144 545040288