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447068448 = 253217127719
BaseRepresentation
bin11010101001011…
…011100100100000
31011011020102121200
4122221123210200
51403422142243
6112210121200
714036006361
oct3251334440
91134212550
10447068448
1120a3a4162
12105880200
1371811558
1443537b68
15293aead3
hex1aa5b920

447068448 has 144 divisors (see below), whose sum is σ = 1358622720. Its totient is φ = 138958848.

The previous prime is 447068407. The next prime is 447068467. The reversal of 447068448 is 844860744.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 621433 + ... + 622151.

It is an arithmetic number, because the mean of its divisors is an integer number (9434880).

Almost surely, 2447068448 is an apocalyptic number.

447068448 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 447068448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679311360).

447068448 is an abundant number, since it is smaller than the sum of its proper divisors (911554272).

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

447068448 is a wasteful number, since it uses less digits than its factorization.

447068448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 879 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

The square root of 447068448 is about 21143.9931895562. The cubic root of 447068448 is about 764.6417494683.

The spelling of 447068448 in words is "four hundred forty-seven million, sixty-eight thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 127 136 144 153 204 254 272 288 306 381 408 508 544 612 719 762 816 1016 1143 1224 1438 1524 1632 2032 2157 2159 2286 2448 2876 3048 4064 4314 4318 4572 4896 5752 6096 6471 6477 8628 8636 9144 11504 12192 12223 12942 12954 17256 17272 18288 19431 23008 24446 25884 25908 34512 34544 36576 36669 38862 48892 51768 51816 69024 69088 73338 77724 91313 97784 103536 103632 110007 146676 155448 182626 195568 207072 207264 220014 273939 293352 310896 365252 391136 440028 547878 586704 621792 730504 821817 880056 1095756 1173408 1461008 1552321 1643634 1760112 2191512 2922016 3104642 3287268 3520224 4383024 4656963 6209284 6574536 8766048 9313926 12418568 13149072 13970889 18627852 24837136 26298144 27941778 37255704 49674272 55883556 74511408 111767112 149022816 223534224 447068448