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449140032 = 26331123629
BaseRepresentation
bin11010110001010…
…101010101000000
31011022010200022000
4122301111111000
51404434440112
6112322344000
714062425105
oct3261252500
91138120260
10449140032
11210589610
121064bb000
1372088443
1443916aac
152966d7dc
hex1ac55540

449140032 has 112 divisors (see below), whose sum is σ = 1440484800. Its totient is φ = 136097280.

The previous prime is 449140009. The next prime is 449140039. The reversal of 449140032 is 230041944.

It is a super-2 number, since 2×4491400322 = 403453536689922048, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 449139978 and 449140005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (449140039) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7194 + ... + 30822.

Almost surely, 2449140032 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 449140032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720242400).

449140032 is an abundant number, since it is smaller than the sum of its proper divisors (991344768).

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

449140032 is a wasteful number, since it uses less digits than its factorization.

449140032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23661 (or 23645 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 449140032 is about 21192.9241021620. The cubic root of 449140032 is about 765.8209717795.

Adding to 449140032 its reverse (230041944), we get a palindrome (679181976).

The spelling of 449140032 in words is "four hundred forty-nine million, one hundred forty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 132 144 176 192 198 216 264 288 297 352 396 432 528 576 594 704 792 864 1056 1188 1584 1728 2112 2376 3168 4752 6336 9504 19008 23629 47258 70887 94516 141774 189032 212661 259919 283548 378064 425322 519838 567096 637983 756128 779757 850644 1039676 1134192 1275966 1512256 1559514 1701288 2079352 2268384 2339271 2551932 3119028 3402576 4158704 4536768 4678542 5103864 6238056 6805152 7017813 8317408 9357084 10207728 12476112 13610304 14035626 16634816 18714168 20415456 24952224 28071252 37428336 40830912 49904448 56142504 74856672 112285008 149713344 224570016 449140032