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5938481920 = 28571934883
BaseRepresentation
bin1011000011111011…
…00000101100000000
3120022212022010201211
411201331200230000
544130222410140
62421134135504
7300106156240
oct54175405400
916285263654
105938481920
1125781333a8
121198951594
13738409b37
14404997b20
1524b5352ea
hex161f60b00

5938481920 has 144 divisors (see below), whose sum is σ = 17112695040. Its totient is φ = 1928835072.

The previous prime is 5938481869. The next prime is 5938481921. The reversal of 5938481920 is 291848395.

It is not an unprimeable number, because it can be changed into a prime (5938481921) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 152799 + ... + 187681.

It is an arithmetic number, because the mean of its divisors is an integer number (118838160).

Almost surely, 25938481920 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 5938481920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8556347520).

5938481920 is an abundant number, since it is smaller than the sum of its proper divisors (11174213120).

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

5938481920 is a wasteful number, since it uses less digits than its factorization.

5938481920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34930 (or 34916 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 49.

The square root of 5938481920 is about 77061.5463120226. The cubic root of 5938481920 is about 1810.8889257116. Note that the first 3 decimals are identical.

The spelling of 5938481920 in words is "five billion, nine hundred thirty-eight million, four hundred eighty-one thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 32 35 38 40 56 64 70 76 80 95 112 128 133 140 152 160 190 224 256 266 280 304 320 380 448 532 560 608 640 665 760 896 1064 1120 1216 1280 1330 1520 1792 2128 2240 2432 2660 3040 4256 4480 4864 5320 6080 8512 8960 10640 12160 17024 21280 24320 34048 34883 42560 69766 85120 139532 170240 174415 244181 279064 348830 488362 558128 662777 697660 976724 1116256 1220905 1325554 1395320 1953448 2232512 2441810 2651108 2790640 3313885 3906896 4465024 4639439 4883620 5302216 5581280 6627770 7813792 8930048 9278878 9767240 10604432 11162560 13255540 15627584 18557756 19534480 21208864 22325120 23197195 26511080 31255168 37115512 39068960 42417728 44650240 46394390 53022160 62510336 74231024 78137920 84835456 92788780 106044320 148462048 156275840 169670912 185577560 212088640 296924096 312551680 371155120 424177280 593848192 742310240 848354560 1187696384 1484620480 2969240960 5938481920