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2404626642 = 2331117534493
BaseRepresentation
bin1000111101010011…
…1011000011010010
320012120201200122000
42033110323003102
514411041023032
61034335254430
7113405663205
oct21724730322
96176650560
102404626642
111024392650
1257137a416
132c4248802
1418b50593c
15e118be7c
hex8f53b0d2

2404626642 has 128 divisors (see below), whose sum is σ = 6290161920. Its totient is φ = 672721920.

The previous prime is 2404626599. The next prime is 2404626661. The reversal of 2404626642 is 2466264042.

2404626642 is a `hidden beast` number, since 2 + 4 + 0 + 4 + 6 + 2 + 6 + 642 = 666.

2404626642 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2404626597 and 2404626606.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 532948 + ... + 537440.

It is an arithmetic number, because the mean of its divisors is an integer number (49141890).

Almost surely, 22404626642 is an apocalyptic number.

2404626642 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2404626642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3145080960).

2404626642 is an abundant number, since it is smaller than the sum of its proper divisors (3885535278).

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

2404626642 is a wasteful number, since it uses less digits than its factorization.

2404626642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4585 (or 4579 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The square root of 2404626642 is about 49036.9925872295. The cubic root of 2404626642 is about 1339.7256886331.

The spelling of 2404626642 in words is "two billion, four hundred four million, six hundred twenty-six thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 11 17 18 22 27 33 34 51 53 54 66 99 102 106 153 159 187 198 297 306 318 374 459 477 561 583 594 901 918 954 1122 1166 1431 1683 1749 1802 2703 2862 3366 3498 4493 5049 5247 5406 8109 8986 9911 10098 10494 13479 15741 16218 19822 24327 26958 29733 31482 40437 48654 49423 59466 76381 80874 89199 98846 121311 148269 152762 178398 229143 238129 242622 267597 296538 444807 458286 476258 535194 687429 714387 840191 889614 1334421 1374858 1428774 1680382 2062287 2143161 2520573 2619419 2668842 4048193 4124574 4286322 5041146 5238838 6429483 7561719 7858257 8096386 12144579 12858966 15123438 15716514 22685157 23574771 24289158 36433737 44530123 45370314 47149542 70724313 72867474 89060246 109301211 133590369 141448626 218602422 267180738 400771107 801542214 1202313321 2404626642