Search a number
-
+
24248240 = 245476449
BaseRepresentation
bin101110001111…
…1111110110000
31200121221022222
41130133332300
522201420430
62223420212
7413051402
oct134377660
950557288
1024248240
1112762075
128154668
13503cc93
143312b72
1521de9e5
hex171ffb0

24248240 has 40 divisors (see below), whose sum is σ = 57585600. Its totient is φ = 9491456.

The previous prime is 24248227. The next prime is 24248243. The reversal of 24248240 is 4284242.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (24248243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 536 + ... + 6984.

It is an arithmetic number, because the mean of its divisors is an integer number (1439640).

Almost surely, 224248240 is an apocalyptic number.

24248240 is a gapful number since it is divisible by the number (20) 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 24248240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28792800).

24248240 is an abundant number, since it is smaller than the sum of its proper divisors (33337360).

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

24248240 is a wasteful number, since it uses less digits than its factorization.

24248240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6509 (or 6503 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 26.

The square root of 24248240 is about 4924.2501967305. The cubic root of 24248240 is about 289.4410159799.

The spelling of 24248240 in words is "twenty-four million, two hundred forty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 47 80 94 188 235 376 470 752 940 1880 3760 6449 12898 25796 32245 51592 64490 103184 128980 257960 303103 515920 606206 1212412 1515515 2424824 3031030 4849648 6062060 12124120 24248240