Search a number
-
+
24494064 = 2437269271
BaseRepresentation
bin101110101101…
…1111111110000
31201002102112120
41131123333300
522232302224
62232554240
7415124160
oct135337760
951072476
1024494064
111290a831
128252980
1350c7b3a
1433785a0
15223c779
hex175bff0

24494064 has 80 divisors (see below), whose sum is σ = 72852480. Its totient is φ = 6946560.

The previous prime is 24494053. The next prime is 24494081. The reversal of 24494064 is 46049442.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90249 + ... + 90519.

It is an arithmetic number, because the mean of its divisors is an integer number (910656).

Almost surely, 224494064 is an apocalyptic number.

24494064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24494064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36426240).

24494064 is an abundant number, since it is smaller than the sum of its proper divisors (48358416).

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

24494064 is a wasteful number, since it uses less digits than its factorization.

24494064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 24494064 is about 4949.1478054307. The cubic root of 24494064 is about 290.4158283535.

The spelling of 24494064 in words is "twenty-four million, four hundred ninety-four thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 269 271 336 538 542 807 813 1076 1084 1614 1626 1883 1897 2152 2168 3228 3252 3766 3794 4304 4336 5649 5691 6456 6504 7532 7588 11298 11382 12912 13008 15064 15176 22596 22764 30128 30352 45192 45528 72899 90384 91056 145798 218697 291596 437394 510293 583192 874788 1020586 1166384 1530879 1749576 2041172 3061758 3499152 4082344 6123516 8164688 12247032 24494064