Search a number
-
+
44104200 = 23352710501
BaseRepresentation
bin1010100000111…
…1101000001000
310001222201120220
42220033220020
542242313300
64213150040
71043610450
oct250175010
9101881526
1044104200
1122994158
121292b320
1391a297a
145c00d60
153d12da0
hex2a0fa08

44104200 has 96 divisors (see below), whose sum is σ = 156269760. Its totient is φ = 10080000.

The previous prime is 44104183. The next prime is 44104219. The reversal of 44104200 is 240144.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 44104200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1051 + ... + 9450.

It is an arithmetic number, because the mean of its divisors is an integer number (1627810).

Almost surely, 244104200 is an apocalyptic number.

44104200 is a gapful number since it is divisible by the number (40) 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 44104200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78134880).

44104200 is an abundant number, since it is smaller than the sum of its proper divisors (112165560).

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

44104200 is a wasteful number, since it uses less digits than its factorization.

44104200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10527 (or 10518 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 44104200 is about 6641.0993065907. The cubic root of 44104200 is about 353.3132973885.

Adding to 44104200 its reverse (240144), we get a palindrome (44344344).

The spelling of 44104200 in words is "forty-four million, one hundred four thousand, two hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 50 56 60 70 75 84 100 105 120 140 150 168 175 200 210 280 300 350 420 525 600 700 840 1050 1400 2100 4200 10501 21002 31503 42004 52505 63006 73507 84008 105010 126012 147014 157515 210020 220521 252024 262525 294028 315030 367535 420040 441042 525050 588056 630060 735070 787575 882084 1050100 1102605 1260120 1470140 1575150 1764168 1837675 2100200 2205210 2940280 3150300 3675350 4410420 5513025 6300600 7350700 8820840 11026050 14701400 22052100 44104200