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455016448 = 21653131
BaseRepresentation
bin11011000111110…
…000000000000000
31011201012020020001
4123013300000000
51412441011243
6113052325344
714163401365
oct3307600000
91151166201
10455016448
11213932657
12108473854
1373365103
144460646c
1529e2ea4d
hex1b1f0000

455016448 has 68 divisors (see below), whose sum is σ = 934274088. Its totient is φ = 221511680.

The previous prime is 455016433. The next prime is 455016473. The reversal of 455016448 is 844610554.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3473343 + ... + 3473473.

Almost surely, 2455016448 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 455016448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467137044).

455016448 is an abundant number, since it is smaller than the sum of its proper divisors (479257640).

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

455016448 is an frugal number, since it uses more digits than its factorization.

455016448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 37.

The square root of 455016448 is about 21331.1145512840. The cubic root of 455016448 is about 769.1464359485.

The spelling of 455016448 in words is "four hundred fifty-five million, sixteen thousand, four hundred forty-eight".

Divisors: 1 2 4 8 16 32 53 64 106 128 131 212 256 262 424 512 524 848 1024 1048 1696 2048 2096 3392 4096 4192 6784 6943 8192 8384 13568 13886 16384 16768 27136 27772 32768 33536 54272 55544 65536 67072 108544 111088 134144 217088 222176 268288 434176 444352 536576 868352 888704 1073152 1736704 1777408 2146304 3473408 3554816 4292608 7109632 8585216 14219264 28438528 56877056 113754112 227508224 455016448