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537522048 = 27337171307
BaseRepresentation
bin100000000010011…
…110111110000000
31101110102221122000
4200002132332000
52100101201143
6125200544000
716214601450
oct4002367600
91343387560
10537522048
112564652a8
12130022000
1387491aab
1451561d60
15322cabd3
hex2009ef80

537522048 has 256 divisors, whose sum is σ = 1921190400. Its totient is φ = 144433152.

The previous prime is 537522017. The next prime is 537522049. The reversal of 537522048 is 840225735.

It is a super-2 number, since 2×5375220482 = 577859904172228608, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (537522049) 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 31 ways as a sum of consecutive naturals, for example, 410611 + ... + 411917.

It is an arithmetic number, because the mean of its divisors is an integer number (7504650).

Almost surely, 2537522048 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 537522048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (960595200).

537522048 is an abundant number, since it is smaller than the sum of its proper divisors (1383668352).

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

537522048 is a wasteful number, since it uses less digits than its factorization.

537522048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1354 (or 1336 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 537522048 is about 23184.5217332599. The cubic root of 537522048 is about 813.0777828931.

The spelling of 537522048 in words is "five hundred thirty-seven million, five hundred twenty-two thousand, forty-eight".