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74885840 = 2451922593
BaseRepresentation
bin1000111011010…
…10101011010000
312012220121001122
410131222223100
5123132321330
611233021412
71566343031
oct435525320
9165817048
1074885840
11392a8927
12210b4868
131268c663
149d34a88
1568935e5
hex476aad0

74885840 has 60 divisors (see below), whose sum is σ = 183826404. Its totient is φ = 28366848.

The previous prime is 74885791. The next prime is 74885849. The reversal of 74885840 is 4858847.

It can be written as a sum of positive squares in 2 ways, for example, as 36048016 + 38837824 = 6004^2 + 6232^2 .

It is a junction number, because it is equal to n+sod(n) for n = 74885791 and 74885800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74885849) 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 11 ways as a sum of consecutive naturals, for example, 27584 + ... + 30176.

Almost surely, 274885840 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 74885840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91913202).

74885840 is an abundant number, since it is smaller than the sum of its proper divisors (108940564).

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

74885840 is a wasteful number, since it uses less digits than its factorization.

74885840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2644 (or 2619 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 44.

The square root of 74885840 is about 8653.6604971538. The cubic root of 74885840 is about 421.5022544999.

The spelling of 74885840 in words is "seventy-four million, eight hundred eighty-five thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 361 380 722 760 1444 1520 1805 2593 2888 3610 5186 5776 7220 10372 12965 14440 20744 25930 28880 41488 49267 51860 98534 103720 197068 207440 246335 394136 492670 788272 936073 985340 1872146 1970680 3744292 3941360 4680365 7488584 9360730 14977168 18721460 37442920 74885840