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44126040 = 23357131401
BaseRepresentation
bin1010100001010…
…0111101011000
310002000211112210
42220110331120
542244013130
64213435120
71044031230
oct250247530
9102024483
1044126040
11229a9602
121293baa0
1391ac8aa
145c08cc0
153d195b0
hex2a14f58

44126040 has 128 divisors (see below), whose sum is σ = 152824320. Its totient is φ = 9984000.

The previous prime is 44126009. The next prime is 44126057. The reversal of 44126040 is 4062144.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 44125998 and 44126016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 109840 + ... + 110240.

It is an arithmetic number, because the mean of its divisors is an integer number (1193940).

Almost surely, 244126040 is an apocalyptic number.

44126040 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 44126040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76412160).

44126040 is an abundant number, since it is smaller than the sum of its proper divisors (108698280).

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

44126040 is a wasteful number, since it uses less digits than its factorization.

44126040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 44126040 is about 6642.7434091646. The cubic root of 44126040 is about 353.3716069453.

Adding to 44126040 its reverse (4062144), we get a palindrome (48188184).

The spelling of 44126040 in words is "forty-four million, one hundred twenty-six thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 131 140 168 210 262 280 393 401 420 524 655 786 802 840 917 1048 1203 1310 1572 1604 1834 1965 2005 2406 2620 2751 2807 3144 3208 3668 3930 4010 4585 4812 5240 5502 5614 6015 7336 7860 8020 8421 9170 9624 11004 11228 12030 13755 14035 15720 16040 16842 18340 22008 22456 24060 27510 28070 33684 36680 42105 48120 52531 55020 56140 67368 84210 105062 110040 112280 157593 168420 210124 262655 315186 336840 367717 420248 525310 630372 735434 787965 1050620 1103151 1260744 1470868 1575930 1838585 2101240 2206302 2941736 3151860 3677170 4412604 5515755 6303720 7354340 8825208 11031510 14708680 22063020 44126040