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545638480 = 24529479491
BaseRepresentation
bin100000100001011…
…100100001010000
31102000201022021121
4200201130201100
52104140412410
6130050532024
716343564512
oct4041344120
91360638247
10545638480
1125aaa92a2
12132897014
138907420a
1452675bb2
1532d809da
hex2085c850

545638480 has 80 divisors (see below), whose sum is σ = 1317772800. Its totient is φ = 209861120.

The previous prime is 545638459. The next prime is 545638487. The reversal of 545638480 is 84836545.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (545638487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1111035 + ... + 1111525.

It is an arithmetic number, because the mean of its divisors is an integer number (16472160).

Almost surely, 2545638480 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 545638480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658886400).

545638480 is an abundant number, since it is smaller than the sum of its proper divisors (772134320).

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

545638480 is a wasteful number, since it uses less digits than its factorization.

545638480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012 (or 1006 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 43.

The square root of 545638480 is about 23358.9057962911. The cubic root of 545638480 is about 817.1497712657.

The spelling of 545638480 in words is "five hundred forty-five million, six hundred thirty-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 479 491 580 958 982 1160 1916 1964 2320 2395 2455 3832 3928 4790 4910 7664 7856 9580 9820 13891 14239 19160 19640 27782 28478 38320 39280 55564 56956 69455 71195 111128 113912 138910 142390 222256 227824 235189 277820 284780 470378 555640 569560 940756 1111280 1139120 1175945 1881512 2351890 3763024 4703780 6820481 9407560 13640962 18815120 27281924 34102405 54563848 68204810 109127696 136409620 272819240 545638480