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1045010432 = 211617827
BaseRepresentation
bin111110010010011…
…001100000000000
32200211101000211002
4332102121200000
54120010313212
6251410111132
734616304434
oct7622314000
92624330732
101045010432
11496976894
12251b7b4a8
1313866948b
149cb069c4
1561b22ac2
hex3e499800

1045010432 has 48 divisors (see below), whose sum is σ = 2095427880. Its totient is φ = 521027584.

The previous prime is 1045010429. The next prime is 1045010489. The reversal of 1045010432 is 2340105401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1263203 + ... + 1264029.

Almost surely, 21045010432 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 1045010432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1047713940).

1045010432 is an abundant number, since it is smaller than the sum of its proper divisors (1050417448).

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

1045010432 is an frugal number, since it uses more digits than its factorization.

1045010432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1466 (or 1446 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 1045010432 is about 32326.6211039756. The cubic root of 1045010432 is about 1014.7838383945.

Adding to 1045010432 its reverse (2340105401), we get a palindrome (3385115833).

The spelling of 1045010432 in words is "one billion, forty-five million, ten thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 128 256 512 617 827 1024 1234 1654 2048 2468 3308 4936 6616 9872 13232 19744 26464 39488 52928 78976 105856 157952 211712 315904 423424 510259 631808 846848 1020518 1263616 1693696 2041036 4082072 8164144 16328288 32656576 65313152 130626304 261252608 522505216 1045010432