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1042861248 = 2632112131151
BaseRepresentation
bin111110001010001…
…100110011000000
32200200022211200200
4332022030303000
54113433024443
6251252045200
734562113542
oct7612146300
92620284620
101042861248
11495739100
12251303800
13138096180
149c707692
156184add3
hex3e28ccc0

1042861248 has 252 divisors, whose sum is σ = 3541434624. Its totient is φ = 291456000.

The previous prime is 1042861223. The next prime is 1042861249. The reversal of 1042861248 is 8421682401.

1042861248 is a `hidden beast` number, since 10 + 4 + 28 + 612 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1042861249) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 905473 + ... + 906623.

It is an arithmetic number, because the mean of its divisors is an integer number (14053312).

Almost surely, 21042861248 is an apocalyptic number.

1042861248 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 1042861248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1770717312).

1042861248 is an abundant number, since it is smaller than the sum of its proper divisors (2498573376).

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

1042861248 is a wasteful number, since it uses less digits than its factorization.

1042861248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1204 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 1042861248 is about 32293.3622901054. The cubic root of 1042861248 is about 1014.0876877589.

The spelling of 1042861248 in words is "one billion, forty-two million, eight hundred sixty-one thousand, two hundred forty-eight".