Base | Representation |
---|---|
bin | 1000111000001… |
… | …00111010100000 |
3 | 12012010102022000 |
4 | 10130010322200 |
5 | 123031002044 |
6 | 11220044000 |
7 | 1562655600 |
oct | 434047240 |
9 | 165112260 |
10 | 74469024 |
11 | 39043753 |
12 | 20b33600 |
13 | 12574a16 |
14 | 9c66c00 |
15 | 680ed69 |
hex | 4704ea0 |
74469024 has 144 divisors (see below), whose sum is σ = 252806400. Its totient is φ = 21264768.
The previous prime is 74469019. The next prime is 74469041. The reversal of 74469024 is 42096447.
It is a tau number, because it is divible by the number of its divisors (144).
It is a super-3 number, since 3×744690243 (a number of 25 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a zygodrome in base 6.
It is a self number, because there is not a number n which added to its sum of digits gives 74469024.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41457 + ... + 43215.
It is an arithmetic number, because the mean of its divisors is an integer number (1755600).
Almost surely, 274469024 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 74469024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126403200).
74469024 is an abundant number, since it is smaller than the sum of its proper divisors (178337376).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
74469024 is a wasteful number, since it uses less digits than its factorization.
74469024 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1792 (or 1771 counting only the distinct ones).
The product of its (nonzero) digits is 48384, while the sum is 36.
The square root of 74469024 is about 8629.5436727558. The cubic root of 74469024 is about 420.7187692288.
The spelling of 74469024 in words is "seventy-four million, four hundred sixty-nine thousand, twenty-four".
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