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44031400 = 2352724493
BaseRepresentation
bin1010011111110…
…1110110101000
310001212000201121
42213331312220
542233001100
64211425024
71043155300
oct247756650
9101760647
1044031400
1122944496
12128b5174
1391787aa
145bc2600
153ceb51a
hex29fdda8

44031400 has 72 divisors (see below), whose sum is σ = 119113470. Its totient is φ = 15093120.

The previous prime is 44031397. The next prime is 44031401. The reversal of 44031400 is 413044.

It can be written as a sum of positive squares in 3 ways, for example, as 42745444 + 1285956 = 6538^2 + 1134^2 .

It is not an unprimeable number, because it can be changed into a prime (44031401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7554 + ... + 12046.

Almost surely, 244031400 is an apocalyptic number.

44031400 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 44031400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59556735).

44031400 is an abundant number, since it is smaller than the sum of its proper divisors (75082070).

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

44031400 is a wasteful number, since it uses less digits than its factorization.

44031400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4523 (or 4507 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 44031400 is about 6635.6160226463. The cubic root of 44031400 is about 353.1187930619.

Adding to 44031400 its reverse (413044), we get a palindrome (44444444).

The spelling of 44031400 in words is "forty-four million, thirty-one thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 140 175 196 200 245 280 350 392 490 700 980 1225 1400 1960 2450 4493 4900 8986 9800 17972 22465 31451 35944 44930 62902 89860 112325 125804 157255 179720 220157 224650 251608 314510 440314 449300 629020 786275 880628 898600 1100785 1258040 1572550 1761256 2201570 3145100 4403140 5503925 6290200 8806280 11007850 22015700 44031400