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748183968 = 253271312833
BaseRepresentation
bin101100100110000…
…110000110100000
31221010211200110100
4230212012012200
53013013341333
6202124102400
724353313240
oct5446060640
91833750410
10748183968
1135436a764
1218a694a00
13bc01000c
147151bb20
1545a3e213
hex2c9861a0

748183968 has 144 divisors (see below), whose sum is σ = 2451024576. Its totient is φ = 212060160.

The previous prime is 748183937. The next prime is 748184009. The reversal of 748183968 is 869381847.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

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, 262680 + ... + 265512.

It is an arithmetic number, because the mean of its divisors is an integer number (17021004).

Almost surely, 2748183968 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 748183968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1225512288).

748183968 is an abundant number, since it is smaller than the sum of its proper divisors (1702840608).

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

748183968 is a wasteful number, since it uses less digits than its factorization.

748183968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2987 (or 2976 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The square root of 748183968 is about 27352.9517237171. The cubic root of 748183968 is about 907.8263817037.

The spelling of 748183968 in words is "seven hundred forty-eight million, one hundred eighty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 131 144 168 224 252 262 288 336 393 504 524 672 786 917 1008 1048 1179 1572 1834 2016 2096 2358 2751 2833 3144 3668 4192 4716 5502 5666 6288 7336 8253 8499 9432 11004 11332 12576 14672 16506 16998 18864 19831 22008 22664 25497 29344 33012 33996 37728 39662 44016 45328 50994 59493 66024 67992 79324 88032 90656 101988 118986 132048 135984 158648 178479 203976 237972 264096 271968 317296 356958 371123 407952 475944 634592 713916 742246 815904 951888 1113369 1427832 1484492 1903776 2226738 2597861 2855664 2968984 3340107 4453476 5195722 5711328 5937968 6680214 7793583 8906952 10391444 11875936 13360428 15587166 17813904 20782888 23380749 26720856 31174332 35627808 41565776 46761498 53441712 62348664 83131552 93522996 106883424 124697328 187045992 249394656 374091984 748183968