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84444464 = 24131812243
BaseRepresentation
bin1010000100010…
…00010100110000
312212220020000202
411002020110300
5133104210324
612213534332
72043523526
oct502102460
9185806022
1084444464
1143737415
12243443a8
1314658350
14b302316
1576308ae
hex5088530

84444464 has 40 divisors (see below), whose sum is σ = 177249072. Its totient is φ = 38741760.

The previous prime is 84444463. The next prime is 84444467. The reversal of 84444464 is 46444448.

It is not an unprimeable number, because it can be changed into a prime (84444463) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36527 + ... + 38769.

Almost surely, 284444464 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 84444464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88624536).

84444464 is an abundant number, since it is smaller than the sum of its proper divisors (92804608).

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

84444464 is a wasteful number, since it uses less digits than its factorization.

84444464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2445 (or 2439 counting only the distinct ones).

The product of its digits is 196608, while the sum is 38.

The square root of 84444464 is about 9189.3668987586. The cubic root of 84444464 is about 438.7229915491.

The spelling of 84444464 in words is "eighty-four million, four hundred forty-four thousand, four hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 52 104 181 208 362 724 1448 2243 2353 2896 4486 4706 8972 9412 17944 18824 29159 35888 37648 58318 116636 233272 405983 466544 811966 1623932 3247864 5277779 6495728 10555558 21111116 42222232 84444464