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1533542868 = 2235112131759
BaseRepresentation
bin101101101101000…
…0000000111010100
310221212122001100000
41123122000013110
511120041332433
6412101051300
753000620314
oct13332000724
93855561300
101533542868
11717710500
123696b6b30
131b5937a20
14107955444
158e973113
hex5b6801d4

1533542868 has 432 divisors, whose sum is σ = 5123926080. Its totient is φ = 396887040.

The previous prime is 1533542831. The next prime is 1533542911. The reversal of 1533542868 is 8682453351.

1533542868 is a `hidden beast` number, since 1 + 533 + 54 + 2 + 8 + 68 = 666.

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 143 ways as a sum of consecutive naturals, for example, 25992223 + ... + 25992281.

It is an arithmetic number, because the mean of its divisors is an integer number (11860940).

Almost surely, 21533542868 is an apocalyptic number.

1533542868 is a gapful number since it is divisible by the number (18) 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 1533542868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2561963040).

1533542868 is an abundant number, since it is smaller than the sum of its proper divisors (3590383212).

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

1533542868 is a wasteful number, since it uses less digits than its factorization.

1533542868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 105 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The square root of 1533542868 is about 39160.4758398056. The cubic root of 1533542868 is about 1153.1840852532.

The spelling of 1533542868 in words is "one billion, five hundred thirty-three million, five hundred forty-two thousand, eight hundred sixty-eight".