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537294384 = 24351117739
BaseRepresentation
bin100000000001100…
…111011000110000
31101110000101100000
4200001213120300
52100021410014
6125152030000
716212632634
oct4001473060
91343011300
10537294384
1125631a250
1212bb32300
1387412293
1451502dc4
1532283509
hex20067630

537294384 has 240 divisors, whose sum is σ = 1803634560. Its totient is φ = 153031680.

The previous prime is 537294379. The next prime is 537294389. The reversal of 537294384 is 483492735.

It is an interprime number because it is at equal distance from previous prime (537294379) and next prime (537294389).

It is not an unprimeable number, because it can be changed into a prime (537294389) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 726687 + ... + 727425.

It is an arithmetic number, because the mean of its divisors is an integer number (7515144).

Almost surely, 2537294384 is an apocalyptic number.

537294384 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 537294384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (901817280).

537294384 is an abundant number, since it is smaller than the sum of its proper divisors (1266340176).

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

537294384 is a wasteful number, since it uses less digits than its factorization.

537294384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790 (or 772 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 537294384 is about 23179.6113858710. The cubic root of 537294384 is about 812.9629753975.

The spelling of 537294384 in words is "five hundred thirty-seven million, two hundred ninety-four thousand, three hundred eighty-four".