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244050440 = 23519216901
BaseRepresentation
bin11101000101111…
…10101000001000
3122000020001021012
432202332220020
5444434103230
640114503052
76022252214
oct1642765010
9560201235
10244050440
1111583a787
1269894a88
133b73b65a
14245ab944
151665b395
hexe8bea08

244050440 has 48 divisors (see below), whose sum is σ = 579569580. Its totient is φ = 92476800.

The previous prime is 244050397. The next prime is 244050451. The reversal of 244050440 is 44050442.

It can be written as a sum of positive squares in 2 ways, for example, as 220760164 + 23290276 = 14858^2 + 4826^2 .

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 11 ways as a sum of consecutive naturals, for example, 5990 + ... + 22890.

Almost surely, 2244050440 is an apocalyptic number.

244050440 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 244050440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289784790).

244050440 is an abundant number, since it is smaller than the sum of its proper divisors (335519140).

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

244050440 is a wasteful number, since it uses less digits than its factorization.

244050440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16950 (or 16927 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 23.

The square root of 244050440 is about 15622.1138134377. The cubic root of 244050440 is about 624.9230326554.

The spelling of 244050440 in words is "two hundred forty-four million, fifty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 361 380 722 760 1444 1805 2888 3610 7220 14440 16901 33802 67604 84505 135208 169010 321119 338020 642238 676040 1284476 1605595 2568952 3211190 6101261 6422380 12202522 12844760 24405044 30506305 48810088 61012610 122025220 244050440