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104443452 = 22333759443
BaseRepresentation
bin1100011100110…
…10111000111100
321021112021111000
412032122320330
5203214142302
614210330300
72405516601
oct616327074
9237467430
10104443452
1153a56a03
122ab89990
131883b179
14dc2a6a8
15928131c
hex639ae3c

104443452 has 96 divisors (see below), whose sum is σ = 283449600. Its totient is φ = 33224256.

The previous prime is 104443439. The next prime is 104443453. The reversal of 104443452 is 254344401.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104443453) 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, 235543 + ... + 235985.

It is an arithmetic number, because the mean of its divisors is an integer number (2952600).

Almost surely, 2104443452 is an apocalyptic number.

104443452 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104443452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141724800).

104443452 is an abundant number, since it is smaller than the sum of its proper divisors (179006148).

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

104443452 is a wasteful number, since it uses less digits than its factorization.

104443452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 104443452 is about 10219.7579227690. The cubic root of 104443452 is about 470.9343898224.

Adding to 104443452 its reverse (254344401), we get a palindrome (358787853).

It can be divided in two parts, 104 and 443452, that added together give a square (443556 = 6662).

The spelling of 104443452 in words is "one hundred four million, four hundred forty-three thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 59 74 108 111 118 148 177 222 236 333 354 443 444 531 666 708 886 999 1062 1329 1332 1593 1772 1998 2124 2183 2658 3186 3987 3996 4366 5316 6372 6549 7974 8732 11961 13098 15948 16391 19647 23922 26137 26196 32782 39294 47844 49173 52274 58941 65564 78411 78588 98346 104548 117882 147519 156822 196692 235233 235764 295038 313644 442557 470466 590076 705699 885114 940932 967069 1411398 1770228 1934138 2822796 2901207 3868276 5802414 8703621 11604828 17407242 26110863 34814484 52221726 104443452