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448026012 = 223372312731
BaseRepresentation
bin11010101101000…
…101010110011100
31011020001002011000
4122231011112130
51404143313022
6112242430300
714050105200
oct3255052634
91136032130
10448026012
1120a998635
12106062390
1371a88365
1443706b00
15294ed6ac
hex1ab4559c

448026012 has 144 divisors (see below), whose sum is σ = 1395287040. Its totient is φ = 123832800.

The previous prime is 448026011. The next prime is 448026037. The reversal of 448026012 is 210620844.

It is a super-3 number, since 3×4480260123 (a number of 27 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (448026011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 162687 + ... + 165417.

Almost surely, 2448026012 is an apocalyptic number.

448026012 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 448026012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697643520).

448026012 is an abundant number, since it is smaller than the sum of its proper divisors (947261028).

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

448026012 is a wasteful number, since it uses less digits than its factorization.

448026012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2789 (or 2774 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 448026012 is about 21166.6249553395. The cubic root of 448026012 is about 765.1872820979.

Adding to 448026012 its reverse (210620844), we get a palindrome (658646856).

The spelling of 448026012 in words is "four hundred forty-eight million, twenty-six thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 31 36 42 49 54 62 63 84 93 98 108 124 126 147 186 189 196 217 252 279 294 372 378 434 441 558 588 651 756 837 868 882 1116 1302 1323 1519 1674 1764 1953 2604 2646 2731 3038 3348 3906 4557 5292 5462 5859 6076 7812 8193 9114 10924 11718 13671 16386 18228 19117 23436 24579 27342 32772 38234 41013 49158 54684 57351 73737 76468 82026 84661 98316 114702 133819 147474 164052 169322 172053 229404 253983 267638 294948 338644 344106 401457 507966 516159 535276 592627 688212 761949 802914 1015932 1032318 1185254 1204371 1523898 1605828 1777881 2064636 2285847 2370508 2408742 3047796 3555762 3613113 4148389 4571694 4817484 5333643 7111524 7226226 8296778 9143388 10667286 12445167 14452452 16000929 16593556 21334572 24890334 32001858 37335501 49780668 64003716 74671002 112006503 149342004 224013006 448026012