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1042400450 = 252713217623
BaseRepresentation
bin111110001000011…
…100010011000010
32200122110102121002
4332020130103002
54113323303300
6251234132002
734555154240
oct7610342302
92618412532
101042400450
11495453983
12251121002
13137c64500
149c627790
15617a95d5
hex3e21c4c2

1042400450 has 72 divisors (see below), whose sum is σ = 2399542848. Its totient is φ = 329883840.

The previous prime is 1042400431. The next prime is 1042400459. The reversal of 1042400450 is 540042401.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1042400459) 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, 50339 + ... + 67961.

It is an arithmetic number, because the mean of its divisors is an integer number (33326984).

Almost surely, 21042400450 is an apocalyptic number.

1042400450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1042400450 is an abundant number, since it is smaller than the sum of its proper divisors (1357142398).

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

1042400450 is a wasteful number, since it uses less digits than its factorization.

1042400450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17668 (or 17650 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 1042400450 is about 32286.2269396720. The cubic root of 1042400450 is about 1013.9383043769.

Adding to 1042400450 its reverse (540042401), we get a palindrome (1582442851).

The spelling of 1042400450 in words is "one billion, forty-two million, four hundred thousand, four hundred fifty".

Divisors: 1 2 5 7 10 13 14 25 26 35 50 65 70 91 130 169 175 182 325 338 350 455 650 845 910 1183 1690 2275 2366 4225 4550 5915 8450 11830 17623 29575 35246 59150 88115 123361 176230 229099 246722 440575 458198 616805 881150 1145495 1233610 1603693 2290990 2978287 3084025 3207386 5727475 5956574 6168050 8018465 11454950 14891435 16036930 20848009 29782870 40092325 41696018 74457175 80184650 104240045 148914350 208480090 521200225 1042400450