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538463744 = 2972132127
BaseRepresentation
bin100000000110000…
…100111000000000
31101112012210101122
4200012010320000
52100321314434
6125233051412
716225603100
oct4006047000
91345183348
10538463744
11256a48865
121303b6b68
1387731600
1451729200
1532414c2e
hex20184e00

538463744 has 180 divisors, whose sum is σ = 1365876864. Its totient is φ = 211341312.

The previous prime is 538463693. The next prime is 538463747. The reversal of 538463744 is 447364835.

It is a junction number, because it is equal to n+sod(n) for n = 538463695 and 538463704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (538463747) 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 17 ways as a sum of consecutive naturals, for example, 4239809 + ... + 4239935.

Almost surely, 2538463744 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 538463744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682938432).

538463744 is an abundant number, since it is smaller than the sum of its proper divisors (827413120).

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

538463744 is a wasteful number, since it uses less digits than its factorization.

538463744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 149 counting only the distinct ones).

The product of its digits is 967680, while the sum is 44.

The square root of 538463744 is about 23204.8215679414. The cubic root of 538463744 is about 813.5523218142.

The spelling of 538463744 in words is "five hundred thirty-eight million, four hundred sixty-three thousand, seven hundred forty-four".