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1040471424 = 273223107367
BaseRepresentation
bin111110000001000…
…101010110000000
32200111211102110200
4332001011112000
54112330041144
6251124525200
734532601246
oct7601052600
92614742420
101040471424
11494356643
12250550800
1313773a485
149c284796
1561527c69
hex3e045580

1040471424 has 192 divisors, whose sum is σ = 3162032640. Its totient is φ = 327748608.

The previous prime is 1040471423. The next prime is 1040471429. The reversal of 1040471424 is 4241740401.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1040471423) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2834889 + ... + 2835255.

It is an arithmetic number, because the mean of its divisors is an integer number (16468920).

Almost surely, 21040471424 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 1040471424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1581016320).

1040471424 is an abundant number, since it is smaller than the sum of its proper divisors (2121561216).

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

1040471424 is a wasteful number, since it uses less digits than its factorization.

1040471424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 1040471424 is about 32256.3392839299. The cubic root of 1040471424 is about 1013.3124664832.

The spelling of 1040471424 in words is "one billion, forty million, four hundred seventy-one thousand, four hundred twenty-four".