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447112104 = 2331719137421
BaseRepresentation
bin11010101001100…
…110001110101000
31011011022122111120
4122221212032220
51403430041404
6112211055240
714036250555
oct3251461650
91134278446
10447112104
1120a423a3a
121058a1520
137182839a
1443549a2c
15293bc9d9
hex1aa663a8

447112104 has 128 divisors (see below), whose sum is σ = 1257897600. Its totient is φ = 131604480.

The previous prime is 447112103. The next prime is 447112109. The reversal of 447112104 is 401211744.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (447112103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1061814 + ... + 1062234.

It is an arithmetic number, because the mean of its divisors is an integer number (9827325).

Almost surely, 2447112104 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 447112104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628948800).

447112104 is an abundant number, since it is smaller than the sum of its proper divisors (810785496).

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

447112104 is a wasteful number, since it uses less digits than its factorization.

447112104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 447112104 is about 21145.0255142906. The cubic root of 447112104 is about 764.6666376138. Note that the first 4 decimals are identical.

Adding to 447112104 its reverse (401211744), we get a palindrome (848323848).

The spelling of 447112104 in words is "four hundred forty-seven million, one hundred twelve thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 17 19 24 34 38 51 57 68 76 102 114 136 137 152 204 228 274 323 408 411 421 456 548 646 822 842 969 1096 1263 1292 1644 1684 1938 2329 2526 2584 2603 3288 3368 3876 4658 5052 5206 6987 7157 7752 7809 7999 9316 10104 10412 13974 14314 15618 15998 18632 20824 21471 23997 27948 28628 31236 31996 42942 44251 47994 55896 57256 57677 62472 63992 85884 88502 95988 115354 132753 135983 171768 173031 177004 191976 230708 265506 271966 346062 354008 407949 461416 531012 543932 692124 815898 980509 1062024 1087864 1095863 1384248 1631796 1961018 2191726 2941527 3263592 3287589 3922036 4383452 5883054 6575178 7844072 8766904 11766108 13150356 18629671 23532216 26300712 37259342 55889013 74518684 111778026 149037368 223556052 447112104