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44042200 = 2352412131
BaseRepresentation
bin1010100000000…
…0011111011000
310001212120112121
42220000133120
542233322300
64211551024
71043231626
oct250003730
9101776477
1044042200
1122951614
12128bb474
139180697
145bc6516
153cee81a
hex2a007d8

44042200 has 72 divisors (see below), whose sum is σ = 105757740. Its totient is φ = 17056000.

The previous prime is 44042197. The next prime is 44042221. The reversal of 44042200 is 224044.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 336135 + ... + 336265.

Almost surely, 244042200 is an apocalyptic number.

44042200 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 44042200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52878870).

44042200 is an abundant number, since it is smaller than the sum of its proper divisors (61715540).

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

44042200 is a wasteful number, since it uses less digits than its factorization.

44042200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 44042200 is about 6636.4297630578. The cubic root of 44042200 is about 353.1476616360.

Adding to 44042200 its reverse (224044), we get a palindrome (44266244).

The spelling of 44042200 in words is "forty-four million, forty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 131 164 200 205 262 328 410 524 655 820 1025 1048 1310 1640 1681 2050 2620 3275 3362 4100 5240 5371 6550 6724 8200 8405 10742 13100 13448 16810 21484 26200 26855 33620 42025 42968 53710 67240 84050 107420 134275 168100 214840 220211 268550 336200 440422 537100 880844 1074200 1101055 1761688 2202110 4404220 5505275 8808440 11010550 22021100 44042200