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2421005328 = 243372114371
BaseRepresentation
bin1001000001001101…
…1001110000010000
320020201112210222000
42100103121300100
514424234132303
61040122314000
7113665130400
oct22023316020
96221483860
102421005328
11103265a155
12576958900
132c7761841
1418d76a800
15e2824da3
hex904d9c10

2421005328 has 120 divisors (see below), whose sum is σ = 8083812960. Its totient is φ = 691709760.

The previous prime is 2421005311. The next prime is 2421005339. The reversal of 2421005328 is 8235001242.

2421005328 is a `hidden beast` number, since 24 + 2 + 100 + 532 + 8 = 666.

It is a super-2 number, since 2×24210053282 = 11722533596408775168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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, 36018 + ... + 78353.

It is an arithmetic number, because the mean of its divisors is an integer number (67365108).

Almost surely, 22421005328 is an apocalyptic number.

2421005328 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2421005328 is an abundant number, since it is smaller than the sum of its proper divisors (5662807632).

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

2421005328 is a wasteful number, since it uses less digits than its factorization.

2421005328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114402 (or 114383 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2421005328 is about 49203.7125428560. The cubic root of 2421005328 is about 1342.7605761166.

The spelling of 2421005328 in words is "two billion, four hundred twenty-one million, five thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 49 54 56 63 72 84 98 108 112 126 144 147 168 189 196 216 252 294 336 378 392 432 441 504 588 756 784 882 1008 1176 1323 1512 1764 2352 2646 3024 3528 5292 7056 10584 21168 114371 228742 343113 457484 686226 800597 914968 1029339 1372452 1601194 1829936 2058678 2401791 2744904 3088017 3202388 4117356 4803582 5489808 5604179 6176034 6404776 7205373 8234712 9607164 11208358 12352068 12809552 14410746 16469424 16812537 19214328 21616119 22416716 24704136 28821492 33625074 38428656 43232238 44833432 49408272 50437611 57642984 67250148 86464476 89666864 100875222 115285968 134500296 151312833 172928952 201750444 269000592 302625666 345857904 403500888 605251332 807001776 1210502664 2421005328