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447389072 = 241317312433
BaseRepresentation
bin11010101010101…
…001110110010000
31011011211201102122
4122222221312100
51404012422242
6112221033412
714041513214
oct3252516620
91134751378
10447389072
1120a5a3039
121059b5868
13718c4480
14435bc944
1529424ad2
hex1aaa9d90

447389072 has 40 divisors (see below), whose sum is σ = 938965944. Its totient is φ = 205277184.

The previous prime is 447389069. The next prime is 447389081. The reversal of 447389072 is 270983744.

It can be written as a sum of positive squares in 4 ways, for example, as 23193856 + 424195216 = 4816^2 + 20596^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29768 + ... + 42200.

Almost surely, 2447389072 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 447389072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469482972).

447389072 is an abundant number, since it is smaller than the sum of its proper divisors (491576872).

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

447389072 is a wasteful number, since it uses less digits than its factorization.

447389072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12627 (or 12621 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 44.

The square root of 447389072 is about 21151.5737475962. The cubic root of 447389072 is about 764.8244984508.

The spelling of 447389072 in words is "four hundred forty-seven million, three hundred eighty-nine thousand, seventy-two".

Divisors: 1 2 4 8 13 16 26 52 104 173 208 346 692 1384 2249 2768 4498 8996 12433 17992 24866 35984 49732 99464 161629 198928 323258 646516 1293032 2150909 2586064 4301818 8603636 17207272 27961817 34414544 55923634 111847268 223694536 447389072