Search a number
-
+
84445460 = 225111767337
BaseRepresentation
bin1010000100010…
…00100100010100
312212220021101122
411002020210110
5133104223320
612213543112
72043526451
oct502104424
9185807348
1084445460
1143738140
1224344a98
1314658938
14b302828
157630d25
hex5088914

84445460 has 96 divisors (see below), whose sum is σ = 208510848. Its totient is φ = 28385280.

The previous prime is 84445447. The next prime is 84445463. The reversal of 84445460 is 6454448.

It is a super-2 number, since 2×844454602 = 14262071429223200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 84445460.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84445463) 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, 250412 + ... + 250748.

It is an arithmetic number, because the mean of its divisors is an integer number (2171988).

Almost surely, 284445460 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 84445460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104255424).

84445460 is an abundant number, since it is smaller than the sum of its proper divisors (124065388).

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

84445460 is a wasteful number, since it uses less digits than its factorization.

84445460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 35.

The square root of 84445460 is about 9189.4210916684. The cubic root of 84445460 is about 438.7247164160.

It can be divided in two parts, 84 and 445460, that added together give a palindrome (445544).

The spelling of 84445460 in words is "eighty-four million, four hundred forty-five thousand, four hundred sixty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 67 68 85 110 134 170 187 220 268 335 337 340 374 670 674 737 748 935 1139 1340 1348 1474 1685 1870 2278 2948 3370 3685 3707 3740 4556 5695 5729 6740 7370 7414 11390 11458 12529 14740 14828 18535 22579 22780 22916 25058 28645 37070 45158 50116 57290 62645 63019 74140 90316 112895 114580 125290 126038 225790 248369 250580 252076 315095 383843 451580 496738 630190 767686 993476 1241845 1260380 1535372 1919215 2483690 3838430 4222273 4967380 7676860 8444546 16889092 21111365 42222730 84445460