Search a number
-
+
244520672 = 251135741
BaseRepresentation
bin11101001001100…
…01011011100000
3122001002221022012
432210301123200
51000044130142
640132532052
76026251154
oct1644613340
9561087265
10244520672
11116031000
1269a81028
133b8746b6
1424691064
1516700882
hexe9316e0

244520672 has 48 divisors (see below), whose sum is σ = 529596144. Its totient is φ = 111126400.

The previous prime is 244520657. The next prime is 244520693. The reversal of 244520672 is 276025442.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 39722 + ... + 45462.

It is an arithmetic number, because the mean of its divisors is an integer number (11033253).

Almost surely, 2244520672 is an apocalyptic number.

244520672 is a gapful number since it is divisible by the number (22) 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 244520672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264798072).

244520672 is an abundant number, since it is smaller than the sum of its proper divisors (285075472).

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

244520672 is an equidigital number, since it uses as much as digits as its factorization.

244520672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5784 (or 5754 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 32.

The square root of 244520672 is about 15637.1567748104. The cubic root of 244520672 is about 625.3241386389.

The spelling of 244520672 in words is "two hundred forty-four million, five hundred twenty thousand, six hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 176 242 352 484 968 1331 1936 2662 3872 5324 5741 10648 11482 21296 22964 42592 45928 63151 91856 126302 183712 252604 505208 694661 1010416 1389322 2020832 2778644 5557288 7641271 11114576 15282542 22229152 30565084 61130168 122260336 244520672