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5923256416 = 2572111720201
BaseRepresentation
bin1011000010000110…
…11011100001100000
3120021210122121021021
411201003123201200
544112323201131
62415431535224
7266532564100
oct54103334140
916253577237
105923256416
11256a584240
12119382a514
1373520896c
14402953200
1524a028e11
hex1610db860

5923256416 has 144 divisors (see below), whose sum is σ = 15669802512. Its totient is φ = 2171904000.

The previous prime is 5923256387. The next prime is 5923256461. The reversal of 5923256416 is 6146523295.

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 23 ways as a sum of consecutive naturals, for example, 283116 + ... + 303316.

It is an arithmetic number, because the mean of its divisors is an integer number (108818073).

Almost surely, 25923256416 is an apocalyptic number.

5923256416 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5923256416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7834901256).

5923256416 is an abundant number, since it is smaller than the sum of its proper divisors (9746546096).

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

5923256416 is a wasteful number, since it uses less digits than its factorization.

5923256416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20253 (or 20238 counting only the distinct ones).

The product of its digits is 388800, while the sum is 43.

The square root of 5923256416 is about 76962.6949632093. The cubic root of 5923256416 is about 1809.3399724044.

The spelling of 5923256416 in words is "five billion, nine hundred twenty-three million, two hundred fifty-six thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 11 14 16 17 22 28 32 34 44 49 56 68 77 88 98 112 119 136 154 176 187 196 224 238 272 308 352 374 392 476 539 544 616 748 784 833 952 1078 1232 1309 1496 1568 1666 1904 2156 2464 2618 2992 3332 3808 4312 5236 5984 6664 8624 9163 10472 13328 17248 18326 20201 20944 26656 36652 40402 41888 73304 80804 141407 146608 161608 222211 282814 293216 323216 343417 444422 565628 646432 686834 888844 989849 1131256 1373668 1555477 1777688 1979698 2262512 2403919 2747336 3110954 3555376 3777587 3959396 4525024 4807838 5494672 6221908 7110752 7555174 7918792 9615676 10888339 10989344 12443816 15110348 15837584 16827433 19231352 21776678 24887632 26443109 30220696 31675168 33654866 38462704 43553356 49775264 52886218 60441392 67309732 76925408 87106712 105772436 120882784 134619464 174213424 185101763 211544872 269238928 348426848 370203526 423089744 538477856 740407052 846179488 1480814104 2961628208 5923256416