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44113300 = 225271117337
BaseRepresentation
bin1010100001000…
…1110110010100
310002000012001221
42220101312110
542243111200
64213300124
71043646130
oct250216624
9102005057
1044113300
112299aa80
1212934644
1391a6b5a
145c043c0
153d1591a
hex2a11d94

44113300 has 144 divisors (see below), whose sum is σ = 126741888. Its totient is φ = 12902400.

The previous prime is 44113273. The next prime is 44113327. The reversal of 44113300 is 331144.

It is an interprime number because it is at equal distance from previous prime (44113273) and next prime (44113327).

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 130732 + ... + 131068.

It is an arithmetic number, because the mean of its divisors is an integer number (880152).

Almost surely, 244113300 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 44113300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63370944).

44113300 is an abundant number, since it is smaller than the sum of its proper divisors (82628588).

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

44113300 is a wasteful number, since it uses less digits than its factorization.

44113300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 44113300 is about 6641.7843987892. The cubic root of 44113300 is about 353.3375953760.

Adding to 44113300 its reverse (331144), we get a palindrome (44444444).

The spelling of 44113300 in words is "forty-four million, one hundred thirteen thousand, three hundred".

Divisors: 1 2 4 5 7 10 11 14 17 20 22 25 28 34 35 44 50 55 68 70 77 85 100 110 119 140 154 170 175 187 220 238 275 308 337 340 350 374 385 425 476 550 595 674 700 748 770 850 935 1100 1190 1309 1348 1540 1685 1700 1870 1925 2359 2380 2618 2975 3370 3707 3740 3850 4675 4718 5236 5729 5950 6545 6740 7414 7700 8425 9350 9436 11458 11795 11900 13090 14828 16850 18535 18700 22916 23590 25949 26180 28645 32725 33700 37070 40103 47180 51898 57290 58975 63019 65450 74140 80206 92675 103796 114580 117950 126038 129745 130900 143225 160412 185350 200515 235900 252076 259490 286450 315095 370700 401030 441133 518980 572900 630190 648725 802060 882266 1002575 1260380 1297450 1575475 1764532 2005150 2205665 2594900 3150950 4010300 4411330 6301900 8822660 11028325 22056650 44113300