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537372000 = 253253112359
BaseRepresentation
bin100000000001111…
…010010101100000
31101110011022210200
4200001322111200
52100031401000
6125153425200
716213405134
oct4001722540
91343138720
10537372000
112563725a0
1212bb6b200
138743b6c9
14515233c4
153229b500
hex2007a560

537372000 has 576 divisors, whose sum is σ = 2207761920. Its totient is φ = 122496000.

The previous prime is 537371999. The next prime is 537372007. The reversal of 537372000 is 273735.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (537372007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9107971 + ... + 9108029.

It is an arithmetic number, because the mean of its divisors is an integer number (3832920).

Almost surely, 2537372000 is an apocalyptic number.

537372000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 537372000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1103880960).

537372000 is an abundant number, since it is smaller than the sum of its proper divisors (1670389920).

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

537372000 is a wasteful number, since it uses less digits than its factorization.

537372000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 4410, while the sum is 27.

The square root of 537372000 is about 23181.2855553785. The cubic root of 537372000 is about 813.0021196098.

The spelling of 537372000 in words is "five hundred thirty-seven million, three hundred seventy-two thousand".