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537427968 = 215371171
BaseRepresentation
bin100000000010001…
…000000000000000
31101110021011120120
4200002020000000
52100040143333
6125154540240
716214030250
oct4002100000
91343234516
10537427968
11256400650
1212bb97680
138745b01c
1451539960
15322acdb3
hex20088000

537427968 has 256 divisors, whose sum is σ = 1811911680. Its totient is φ = 137625600.

The previous prime is 537427967. The next prime is 537427973. The reversal of 537427968 is 869724735.

It is a tau number, because it is divible by the number of its divisors (256).

It is a self number, because there is not a number n which added to its sum of digits gives 537427968.

It is not an unprimeable number, because it can be changed into a prime (537427967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7569373 + ... + 7569443.

It is an arithmetic number, because the mean of its divisors is an integer number (7077780).

Almost surely, 2537427968 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 537427968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (905955840).

537427968 is an abundant number, since it is smaller than the sum of its proper divisors (1274483712).

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

537427968 is an equidigital number, since it uses as much as digits as its factorization.

537427968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 94 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 51.

The square root of 537427968 is about 23182.4927046252. The cubic root of 537427968 is about 813.0303437097.

The spelling of 537427968 in words is "five hundred thirty-seven million, four hundred twenty-seven thousand, nine hundred sixty-eight".