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544199040 = 27335711409
BaseRepresentation
bin100000011011111…
…101000110000000
31101221000011202000
4200123331012000
52103303332130
6130000024000
716325421060
oct4033750600
91357004660
10544199040
1125a205880
12132302000
138898bc88
14523bd3a0
1532b99260
hex206fd180

544199040 has 512 divisors, whose sum is σ = 2408832000. Its totient is φ = 112803840.

The previous prime is 544199011. The next prime is 544199057. The reversal of 544199040 is 40991445.

It is a happy number.

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 = 544198986 and 544199004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1330356 + ... + 1330764.

It is an arithmetic number, because the mean of its divisors is an integer number (4704750).

Almost surely, 2544199040 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 544199040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1204416000).

544199040 is an abundant number, since it is smaller than the sum of its proper divisors (1864632960).

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

544199040 is a wasteful number, since it uses less digits than its factorization.

544199040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 544199040 is about 23328.0740739565. The cubic root of 544199040 is about 816.4305686150.

The spelling of 544199040 in words is "five hundred forty-four million, one hundred ninety-nine thousand, forty".