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5932408896 = 26342939461
BaseRepresentation
bin1011000011001100…
…10110000001000000
3120022102212121010000
411201212112001000
544122144041041
62420400040000
7300003433521
oct54146260100
916272777100
105932408896
112574765677
121196903000
1373709182b
14403c56848
1524ac35bb6
hex161996040

5932408896 has 140 divisors (see below), whose sum is σ = 18192376620. Its totient is φ = 1909232640.

The previous prime is 5932408861. The next prime is 5932408897. The reversal of 5932408896 is 6988042395.

5932408896 is a `hidden beast` number, since 593 + 2 + 40 + 8 + 8 + 9 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2446687296 + 3485721600 = 49464^2 + 59040^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (5932408897) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 130606 + ... + 170066.

Almost surely, 25932408896 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 5932408896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9096188310).

5932408896 is an abundant number, since it is smaller than the sum of its proper divisors (12259967724).

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

5932408896 is a wasteful number, since it uses less digits than its factorization.

5932408896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39514 (or 39495 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The square root of 5932408896 is about 77022.1325074813. The cubic root of 5932408896 is about 1810.2714097035.

The spelling of 5932408896 in words is "five billion, nine hundred thirty-two million, four hundred eight thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 64 72 81 87 96 108 116 144 162 174 192 216 232 261 288 324 348 432 464 522 576 648 696 783 864 928 1044 1296 1392 1566 1728 1856 2088 2349 2592 2784 3132 4176 4698 5184 5568 6264 8352 9396 12528 16704 18792 25056 37584 39461 50112 75168 78922 118383 150336 157844 236766 315688 355149 473532 631376 710298 947064 1065447 1144369 1262752 1420596 1894128 2130894 2288738 2525504 2841192 3196341 3433107 3788256 4261788 4577476 5682384 6392682 6866214 7576512 8523576 9154952 10299321 11364768 12785364 13732428 17047152 18309904 20598642 22729536 25570728 27464856 30897963 34094304 36619808 41197284 51141456 54929712 61795926 68188608 73239616 82394568 92693889 102282912 109859424 123591852 164789136 185387778 204565824 219718848 247183704 329578272 370775556 494367408 659156544 741551112 988734816 1483102224 1977469632 2966204448 5932408896