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537698304 = 21333111317
BaseRepresentation
bin100000000011001…
…010000000000000
31101110202220102000
4200003022000000
52100122321204
6125204424000
716216234353
oct4003120000
91343686360
10537698304
11256575770
121300a8000
13875240a0
14515aa29a
1532313039
hex200ca000

537698304 has 448 divisors, whose sum is σ = 1981687680. Its totient is φ = 141557760.

The previous prime is 537698299. The next prime is 537698311. The reversal of 537698304 is 403896735.

It is a super-2 number, since 2×5376983042 = 578238932248952832, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 537698304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31629304 + ... + 31629320.

It is an arithmetic number, because the mean of its divisors is an integer number (4423410).

Almost surely, 2537698304 is an apocalyptic number.

537698304 is a gapful number since it is divisible by the number (54) 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 537698304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (990843840).

537698304 is an abundant number, since it is smaller than the sum of its proper divisors (1443989376).

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

537698304 is a wasteful number, since it uses less digits than its factorization.

537698304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 537698304 is about 23188.3225784014. The cubic root of 537698304 is about 813.1666438537.

The spelling of 537698304 in words is "five hundred thirty-seven million, six hundred ninety-eight thousand, three hundred four".