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1042289424 = 2433111371601
BaseRepresentation
bin111110001000000…
…001001100010000
32200122020210022000
4332020001030100
54113311230144
6251231514000
734554212451
oct7610011420
92618223260
101042289424
11495388520
12251088900
13137c25b07
149c5d9128
1561786769
hex3e201310

1042289424 has 160 divisors (see below), whose sum is σ = 3289610880. Its totient is φ = 313344000.

The previous prime is 1042289411. The next prime is 1042289447. The reversal of 1042289424 is 4249822401.

1042289424 is a `hidden beast` number, since 1 + 0 + 4 + 228 + 9 + 424 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 650224 + ... + 651824.

It is an arithmetic number, because the mean of its divisors is an integer number (20560068).

Almost surely, 21042289424 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 1042289424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1644805440).

1042289424 is an abundant number, since it is smaller than the sum of its proper divisors (2247321456).

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

1042289424 is a wasteful number, since it uses less digits than its factorization.

1042289424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1766 (or 1754 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 1042289424 is about 32284.5074919844. The cubic root of 1042289424 is about 1013.9023049325.

The spelling of 1042289424 in words is "one billion, forty-two million, two hundred eighty-nine thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 137 144 176 198 216 264 274 297 396 411 432 528 548 594 792 822 1096 1188 1233 1507 1584 1601 1644 2192 2376 2466 3014 3202 3288 3699 4521 4752 4803 4932 6028 6404 6576 7398 9042 9606 9864 12056 12808 13563 14409 14796 17611 18084 19212 19728 24112 25616 27126 28818 29592 35222 36168 38424 40689 43227 52833 54252 57636 59184 70444 72336 76848 81378 86454 105666 108504 115272 140888 158499 162756 172908 211332 217008 219337 230544 281776 316998 325512 345816 422664 438674 475497 633996 651024 658011 691632 845328 877348 950994 1267992 1316022 1754696 1901988 1974033 2412707 2535984 2632044 3509392 3803976 3948066 4825414 5264088 5922099 7238121 7607952 7896132 9650828 10528176 11844198 14476242 15792264 19301656 21714363 23688396 28952484 31584528 38603312 43428726 47376792 57904968 65143089 86857452 94753584 115809936 130286178 173714904 260572356 347429808 521144712 1042289424