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449320464 = 24323120281
BaseRepresentation
bin11010110010000…
…001011000010000
31011022110211210200
4122302001120100
51410011223324
6112330255200
714064106125
oct3262013020
91138424720
10449320464
112106a212a
12106587500
137211c5c8
144396274c
15296a6ec9
hex1ac81610

449320464 has 30 divisors (see below), whose sum is σ = 1257473646. Its totient is φ = 149773440.

The previous prime is 449320463. The next prime is 449320477. The reversal of 449320464 is 464023944.

449320464 is a `hidden beast` number, since 449 + 3 + 204 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 300675600 + 148644864 = 17340^2 + 12192^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (449320463) 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, 1559997 + ... + 1560284.

Almost surely, 2449320464 is an apocalyptic number.

It is an amenable number.

449320464 is an abundant number, since it is smaller than the sum of its proper divisors (808153182).

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

449320464 is a wasteful number, since it uses less digits than its factorization.

449320464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3120295 (or 3120286 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 449320464 is about 21197.1805672358. The cubic root of 449320464 is about 765.9235085538.

The spelling of 449320464 in words is "four hundred forty-nine million, three hundred twenty thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 3120281 6240562 9360843 12481124 18721686 24962248 28082529 37443372 49924496 56165058 74886744 112330116 149773488 224660232 449320464