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244418496 = 2637296271
BaseRepresentation
bin11101001000110…
…00011111000000
3122000220202010220
432210120133000
51000032342441
640130423040
76025344240
oct1644303700
9560822126
10244418496
11115a71263
1269a31a80
133b83a03a
1424665b20
15166d0466
hexe9187c0

244418496 has 112 divisors (see below), whose sum is σ = 764682240. Its totient is φ = 67415040.

The previous prime is 244418459. The next prime is 244418501. The reversal of 244418496 is 694814442.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35841 + ... + 42111.

It is an arithmetic number, because the mean of its divisors is an integer number (6827520).

Almost surely, 2244418496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 244418496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382341120).

244418496 is an abundant number, since it is smaller than the sum of its proper divisors (520263744).

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

244418496 is a wasteful number, since it uses less digits than its factorization.

244418496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6322 (or 6312 counting only the distinct ones).

The product of its digits is 221184, while the sum is 42.

The square root of 244418496 is about 15633.8893433464. The cubic root of 244418496 is about 625.2370266847.

The spelling of 244418496 in words is "two hundred forty-four million, four hundred eighteen thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 32 42 48 56 58 64 84 87 96 112 116 168 174 192 203 224 232 336 348 406 448 464 609 672 696 812 928 1218 1344 1392 1624 1856 2436 2784 3248 4872 5568 6271 6496 9744 12542 12992 18813 19488 25084 37626 38976 43897 50168 75252 87794 100336 131691 150504 175588 181859 200672 263382 301008 351176 363718 401344 526764 545577 602016 702352 727436 1053528 1091154 1204032 1273013 1404704 1454872 2107056 2182308 2546026 2809408 2909744 3819039 4214112 4364616 5092052 5819488 7638078 8428224 8729232 10184104 11638976 15276156 17458464 20368208 30552312 34916928 40736416 61104624 81472832 122209248 244418496