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1042457424 = 24353834937
BaseRepresentation
bin111110001000101…
…010001101010000
32200122120022202020
4332020222031100
54113332114144
6251235251440
734555512321
oct7610521520
92618508666
101042457424
11495492768
12251149b80
13137c84418
149c640448
15617bb419
hex3e22a350

1042457424 has 80 divisors (see below), whose sum is σ = 2777447232. Its totient is φ = 336753664.

The previous prime is 1042457419. The next prime is 1042457441. The reversal of 1042457424 is 4247542401.

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 15 ways as a sum of consecutive naturals, for example, 208684 + ... + 213620.

Almost surely, 21042457424 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 1042457424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1388723616).

1042457424 is an abundant number, since it is smaller than the sum of its proper divisors (1734989808).

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

1042457424 is a wasteful number, since it uses less digits than its factorization.

1042457424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5084 (or 5078 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 33.

The square root of 1042457424 is about 32287.1092543139. The cubic root of 1042457424 is about 1013.9567768262.

Adding to 1042457424 its reverse (4247542401), we get a palindrome (5289999825).

The spelling of 1042457424 in words is "one billion, forty-two million, four hundred fifty-seven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 53 83 106 159 166 212 249 318 332 424 498 636 664 848 996 1272 1328 1992 2544 3984 4399 4937 8798 9874 13197 14811 17596 19748 26394 29622 35192 39496 52788 59244 70384 78992 105576 118488 211152 236976 261661 409771 523322 784983 819542 1046644 1229313 1569966 1639084 2093288 2458626 3139932 3278168 4186576 4917252 6279864 6556336 9834504 12559728 19669008 21717863 43435726 65153589 86871452 130307178 173742904 260614356 347485808 521228712 1042457424