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244132992 = 2732673163
BaseRepresentation
bin11101000110100…
…10110010000000
3122000101020111200
432203102302000
5444444223432
640120341200
76023044665
oct1643226200
9560336450
10244132992
11115896804
1269914800
133b76a0bc
14245cda6c
1516675a7c
hexe8d2c80

244132992 has 96 divisors (see below), whose sum is σ = 713228880. Its totient is φ = 80137728.

The previous prime is 244132979. The next prime is 244133027. The reversal of 244132992 is 299231442.

244132992 is a `hidden beast` number, since 244 + 1 + 329 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75603 + ... + 78765.

Almost surely, 2244132992 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 244132992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356614440).

244132992 is an abundant number, since it is smaller than the sum of its proper divisors (469095888).

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

244132992 is a wasteful number, since it uses less digits than its factorization.

244132992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3250 (or 3235 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 244132992 is about 15624.7557420908. The cubic root of 244132992 is about 624.9934864388.

The spelling of 244132992 in words is "two hundred forty-four million, one hundred thirty-two thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 67 72 96 128 134 144 192 201 268 288 384 402 536 576 603 804 1072 1152 1206 1608 2144 2412 3163 3216 4288 4824 6326 6432 8576 9489 9648 12652 12864 18978 19296 25304 25728 28467 37956 38592 50608 56934 75912 77184 101216 113868 151824 202432 211921 227736 303648 404864 423842 455472 607296 635763 847684 910944 1214592 1271526 1695368 1821888 1907289 2543052 3390736 3643776 3814578 5086104 6781472 7629156 10172208 13562944 15258312 20344416 27125888 30516624 40688832 61033248 81377664 122066496 244132992