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420704448 = 2632191169
BaseRepresentation
bin11001000100110…
…111000011000000
31002022122000000020
4121010313003000
51330200020243
6105425053440
713265633403
oct3104670300
91068560006
10420704448
111a652752a
12b8a87280
1369210558
143dc33d3a
1526e03283
hex191370c0

420704448 has 28 divisors (see below), whose sum is σ = 1113114360. Its totient is φ = 140234752.

The previous prime is 420704447. The next prime is 420704483. The reversal of 420704448 is 844407024.

It is not an unprimeable number, because it can be changed into a prime (420704447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1095393 + ... + 1095776.

Almost surely, 2420704448 is an apocalyptic number.

420704448 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

420704448 is an abundant number, since it is smaller than the sum of its proper divisors (692409912).

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

420704448 is a wasteful number, since it uses less digits than its factorization.

420704448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2191184 (or 2191174 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 33.

The square root of 420704448 is about 20511.0811026625. The cubic root of 420704448 is about 749.3056970117.

The spelling of 420704448 in words is "four hundred twenty million, seven hundred four thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 2191169 4382338 6573507 8764676 13147014 17529352 26294028 35058704 52588056 70117408 105176112 140234816 210352224 420704448