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534186048 = 263113141199
BaseRepresentation
bin11111110101110…
…000100001000000
31101020011110111110
4133311300201000
52043222423143
6125001243320
716144335504
oct3765604100
91336143443
10534186048
11254596980
1212aa93540
1386894526
1450d34304
1531d6c533
hex1fd70840

534186048 has 224 divisors, whose sum is σ = 1638604800. Its totient is φ = 152064000.

The previous prime is 534186013. The next prime is 534186127. The reversal of 534186048 is 840681435.

It is a junction number, because it is equal to n+sod(n) for n = 534185997 and 534186015.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2684253 + ... + 2684451.

It is an arithmetic number, because the mean of its divisors is an integer number (7315200).

Almost surely, 2534186048 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 534186048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819302400).

534186048 is an abundant number, since it is smaller than the sum of its proper divisors (1104418752).

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

534186048 is a wasteful number, since it uses less digits than its factorization.

534186048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 534186048 is about 23112.4652081945. The cubic root of 534186048 is about 811.3922345126.

The spelling of 534186048 in words is "five hundred thirty-four million, one hundred eighty-six thousand, forty-eight".