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544195080 = 2332511213312
BaseRepresentation
bin100000011011111…
…100001000001000
31101220222222022100
4200123330020020
52103303220310
6125555553400
716325403402
oct4033741010
91356888270
10544195080
1125a202900
121322bb860
138898a230
14523bbb72
1532b97ec0
hex206fc208

544195080 has 432 divisors, whose sum is σ = 2163290220. Its totient is φ = 117849600.

The previous prime is 544195079. The next prime is 544195081. The reversal of 544195080 is 80591445.

It is an interprime number because it is at equal distance from previous prime (544195079) and next prime (544195081).

It can be written as a sum of positive squares in 2 ways, for example, as 506520036 + 37675044 = 22506^2 + 6138^2 .

It is a super-2 number, since 2×5441950802 = 592296570192412800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (544195081) 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 107 ways as a sum of consecutive naturals, for example, 17554665 + ... + 17554695.

Almost surely, 2544195080 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 544195080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1081645110).

544195080 is an abundant number, since it is smaller than the sum of its proper divisors (1619095140).

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

544195080 is a wasteful number, since it uses less digits than its factorization.

544195080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 544195080 is about 23327.9891975284. The cubic root of 544195080 is about 816.4285882900.

The spelling of 544195080 in words is "five hundred forty-four million, one hundred ninety-five thousand, eighty".