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449105742 = 23331268283
BaseRepresentation
bin11010110001001…
…100111101001110
31011022001221021000
4122301030331032
51404432340432
6112321521130
714062223121
oct3261147516
91138057230
10449105742
11210565878
121064a31a6
1372075957
14439083b8
152966357c
hex1ac4cf4e

449105742 has 32 divisors (see below), whose sum is σ = 1030210560. Its totient is φ = 144872280.

The previous prime is 449105719. The next prime is 449105747. The reversal of 449105742 is 247501944.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 449105697 and 449105706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (449105747) 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, 132468 + ... + 135815.

It is an arithmetic number, because the mean of its divisors is an integer number (32194080).

Almost surely, 2449105742 is an apocalyptic number.

449105742 is an abundant number, since it is smaller than the sum of its proper divisors (581104818).

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

449105742 is a wasteful number, since it uses less digits than its factorization.

449105742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268325 (or 268319 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 449105742 is about 21192.1150902877. The cubic root of 449105742 is about 765.8014821863.

The spelling of 449105742 in words is "four hundred forty-nine million, one hundred five thousand, seven hundred forty-two".

Divisors: 1 2 3 6 9 18 27 31 54 62 93 186 279 558 837 1674 268283 536566 804849 1609698 2414547 4829094 7243641 8316773 14487282 16633546 24950319 49900638 74850957 149701914 224552871 449105742