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24442242 = 23112131257
BaseRepresentation
bin101110100111…
…1010110000010
31200222210110020
41131033112002
522224122432
62231514310
7414520116
oct135172602
950883406
1024442242
1112884900
128228996
1350aa386
143363746
15222c22c
hex174f582

24442242 has 48 divisors (see below), whose sum is σ = 54353376. Its totient is φ = 7321600.

The previous prime is 24442241. The next prime is 24442259. The reversal of 24442242 is 24224442.

It is not an unprimeable number, because it can be changed into a prime (24442241) 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 23 ways as a sum of consecutive naturals, for example, 94978 + ... + 95234.

It is an arithmetic number, because the mean of its divisors is an integer number (1132362).

Almost surely, 224442242 is an apocalyptic number.

24442242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 24442242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27176688).

24442242 is an abundant number, since it is smaller than the sum of its proper divisors (29911134).

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

24442242 is a wasteful number, since it uses less digits than its factorization.

24442242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 404 counting only the distinct ones).

The product of its digits is 4096, while the sum is 24.

The square root of 24442242 is about 4943.9095865519. The cubic root of 24442242 is about 290.2108731823.

Adding to 24442242 its reverse (24224442), we get a palindrome (48666684).

It can be divided in two parts, 244 and 42242, that added together give a triangular number (42486 = T291).

The spelling of 24442242 in words is "twenty-four million, four hundred forty-two thousand, two hundred forty-two".

Divisors: 1 2 3 6 11 22 33 66 121 131 242 257 262 363 393 514 726 771 786 1441 1542 2827 2882 4323 5654 8481 8646 15851 16962 31097 31702 33667 47553 62194 67334 93291 95106 101001 186582 202002 370337 740674 1111011 2222022 4073707 8147414 12221121 24442242