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424444272 = 243721131597
BaseRepresentation
bin11001010011001…
…000000101110000
31002120200000002020
4121103020011300
51332124204042
6110041151440
713342500600
oct3123100560
91076600066
10424444272
111a865129a
12ba18b580
1369c1c875
1440528c00
15273e13ec
hex194c8170

424444272 has 120 divisors (see below), whose sum is σ = 1287591696. Its totient is φ = 120121344.

The previous prime is 424444247. The next prime is 424444301. The reversal of 424444272 is 272444424.

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

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 264978 + ... + 266574.

Almost surely, 2424444272 is an apocalyptic number.

424444272 is a gapful number since it is divisible by the number (42) 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 424444272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643795848).

424444272 is an abundant number, since it is smaller than the sum of its proper divisors (863147424).

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

424444272 is a wasteful number, since it uses less digits than its factorization.

424444272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1735 (or 1722 counting only the distinct ones).

The product of its digits is 57344, while the sum is 33.

The square root of 424444272 is about 20602.0453353544. The cubic root of 424444272 is about 751.5194511676.

Adding to 424444272 its reverse (272444424), we get a palindrome (696888696).

It can be divided in two parts, 4244 and 44272, that added together give a triangular number (48516 = T311).

The spelling of 424444272 in words is "four hundred twenty-four million, four hundred forty-four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 113 147 168 196 226 294 336 339 392 452 588 678 784 791 904 1176 1356 1582 1597 1808 2352 2373 2712 3164 3194 4746 4791 5424 5537 6328 6388 9492 9582 11074 11179 12656 12776 16611 18984 19164 22148 22358 25552 33222 33537 37968 38328 44296 44716 66444 67074 76656 78253 88592 89432 132888 134148 156506 178864 180461 234759 265776 268296 313012 360922 469518 536592 541383 626024 721844 939036 1082766 1252048 1263227 1443688 1878072 2165532 2526454 2887376 3756144 3789681 4331064 5052908 7579362 8662128 8842589 10105816 15158724 17685178 20211632 26527767 30317448 35370356 53055534 60634896 70740712 106111068 141481424 212222136 424444272