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449778816 = 2732390433
BaseRepresentation
bin11010110011110…
…001010010000000
31011100100010112200
4122303301102000
51410120410231
6112344153200
714101025334
oct3263612200
91140303480
10449778816
11210985533
12106768800
1372250116
1443a417c4
1529747be6
hex1acf1480

449778816 has 48 divisors (see below), whose sum is σ = 1294288710. Its totient is φ = 149925888.

The previous prime is 449778793. The next prime is 449778817. The reversal of 449778816 is 618877944.

It is a happy number.

449778816 is a `hidden beast` number, since 4 + 497 + 78 + 81 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 259338816 + 190440000 = 16104^2 + 13800^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (449778817) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 194065 + ... + 196368.

Almost surely, 2449778816 is an apocalyptic number.

It is an amenable number.

449778816 is an abundant number, since it is smaller than the sum of its proper divisors (844509894).

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

449778816 is a wasteful number, since it uses less digits than its factorization.

449778816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390453 (or 390438 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 54.

The square root of 449778816 is about 21207.9894379453. The cubic root of 449778816 is about 766.1838596801.

The spelling of 449778816 in words is "four hundred forty-nine million, seven hundred seventy-eight thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 390433 780866 1171299 1561732 2342598 3123464 3513897 4685196 6246928 7027794 9370392 12493856 14055588 18740784 24987712 28111176 37481568 49975424 56222352 74963136 112444704 149926272 224889408 449778816