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537298080 = 2535113292
BaseRepresentation
bin100000000001101…
…000010010100000
31101110000120101220
4200001220102200
52100022014310
6125152055040
716212646464
oct4001502240
91343016356
10537298080
11256322000
1212bb34480
1387413b77
14515044a4
1532284670
hex200684a0

537298080 has 288 divisors, whose sum is σ = 1928017728. Its totient is φ = 125762560.

The previous prime is 537298063. The next prime is 537298087. The reversal of 537298080 is 80892735.

It is a super-3 number, since 3×5372980803 (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (537298087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18527506 + ... + 18527534.

It is an arithmetic number, because the mean of its divisors is an integer number (6694506).

Almost surely, 2537298080 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 537298080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (964008864).

537298080 is an abundant number, since it is smaller than the sum of its proper divisors (1390719648).

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

537298080 is a wasteful number, since it uses less digits than its factorization.

537298080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 537298080 is about 23179.6911109704. The cubic root of 537298080 is about 812.9648394931.

The spelling of 537298080 in words is "five hundred thirty-seven million, two hundred ninety-eight thousand, eighty".