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447900672 = 2103211691
BaseRepresentation
bin11010101100100…
…110110000000000
31011012210201012210
4122230212300000
51404130310142
6112240022120
714046043602
oct3254466000
91135721183
10447900672
1120a91244a
12106001940
1371a432ab
14436b3172
15294c649c
hex1ab26c00

447900672 has 88 divisors (see below), whose sum is σ = 1201212352. Its totient is φ = 148377600.

The previous prime is 447900671. The next prime is 447900703. The reversal of 447900672 is 276009744.

It is a self number, because there is not a number n which added to its sum of digits gives 447900672.

It is not an unprimeable number, because it can be changed into a prime (447900671) 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 7 ways as a sum of consecutive naturals, for example, 647847 + ... + 648537.

Almost surely, 2447900672 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 447900672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600606176).

447900672 is an abundant number, since it is smaller than the sum of its proper divisors (753311680).

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

447900672 is a wasteful number, since it uses less digits than its factorization.

447900672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 925 (or 907 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 39.

The square root of 447900672 is about 21163.6639549961. The cubic root of 447900672 is about 765.1159190397.

The spelling of 447900672 in words is "four hundred forty-seven million, nine hundred thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 211 256 384 422 512 633 691 768 844 1024 1266 1382 1536 1688 2073 2532 2764 3072 3376 4146 5064 5528 6752 8292 10128 11056 13504 16584 20256 22112 27008 33168 40512 44224 54016 66336 81024 88448 108032 132672 145801 162048 176896 216064 265344 291602 324096 353792 437403 530688 583204 648192 707584 874806 1061376 1166408 1749612 2122752 2332816 3499224 4665632 6998448 9331264 13996896 18662528 27993792 37325056 55987584 74650112 111975168 149300224 223950336 447900672