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74393000 = 2353116763
BaseRepresentation
bin1000110111100…
…10010110101000
312011222120000022
410123302112220
5123021034000
611214300012
71562221133
oct433622650
9164876008
1074393000
1138aa1620
1220ab7608
1312549236
149c4721a
1567e7585
hex46f25a8

74393000 has 64 divisors (see below), whose sum is σ = 189933120. Its totient is φ = 27048000.

The previous prime is 74392987. The next prime is 74393009. The reversal of 74393000 is 39347.

It is not an unprimeable number, because it can be changed into a prime (74393009) 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, 7619 + ... + 14381.

It is an arithmetic number, because the mean of its divisors is an integer number (2967705).

Almost surely, 274393000 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 74393000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94966560).

74393000 is an abundant number, since it is smaller than the sum of its proper divisors (115540120).

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

74393000 is a wasteful number, since it uses less digits than its factorization.

74393000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6795 (or 6781 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 26.

The square root of 74393000 is about 8625.1376800605. The cubic root of 74393000 is about 420.5755525714.

The spelling of 74393000 in words is "seventy-four million, three hundred ninety-three thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 1000 1100 1375 2200 2750 5500 6763 11000 13526 27052 33815 54104 67630 74393 135260 148786 169075 270520 297572 338150 371965 595144 676300 743930 845375 1352600 1487860 1690750 1859825 2975720 3381500 3719650 6763000 7439300 9299125 14878600 18598250 37196500 74393000