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424444212 = 22311599
BaseRepresentation
bin11001010011001…
…000000100110100
31002120200000000000
4121103020010310
51332124203322
6110041151300
713342500453
oct3123100464
91076600000
10424444212
111a8651245
12ba18b530
1369c1c82a
1440528b9a
15273e13ac
hex194c8134

424444212 has 72 divisors (see below), whose sum is σ = 1116024000. Its totient is φ = 141245208.

The previous prime is 424444127. The next prime is 424444247. The reversal of 424444212 is 212444424.

424444212 is a `hidden beast` number, since 4 + 2 + 4 + 444 + 212 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 708289 + ... + 708887.

Almost surely, 2424444212 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 424444212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558012000).

424444212 is an abundant number, since it is smaller than the sum of its proper divisors (691579788).

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

424444212 is an frugal number, since it uses more digits than its factorization.

424444212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636 (or 604 counting only the distinct ones).

The product of its digits is 8192, while the sum is 27.

The square root of 424444212 is about 20602.0438791883. The cubic root of 424444212 is about 751.5194157557.

Adding to 424444212 its reverse (212444424), we get a palindrome (636888636).

It can be divided in two parts, 42444 and 4212, that added together give a 6-th power (46656 = 66).

The spelling of 424444212 in words is "four hundred twenty-four million, four hundred forty-four thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 599 729 972 1198 1458 1797 2187 2396 2916 3594 4374 5391 6561 7188 8748 10782 13122 16173 19683 21564 26244 32346 39366 48519 59049 64692 78732 97038 118098 145557 177147 194076 236196 291114 354294 436671 582228 708588 873342 1310013 1746684 2620026 3930039 5240052 7860078 11790117 15720156 23580234 35370351 47160468 70740702 106111053 141481404 212222106 424444212