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44418040 = 23531113317
BaseRepresentation
bin1010100101110…
…0001111111000
310002120200002121
42221130033320
542332334130
64224011024
71046355442
oct251341770
9102520077
1044418040
1123088a27
1212a60a74
139282784
145c83492
153d75d7a
hex2a5c3f8

44418040 has 64 divisors (see below), whose sum is σ = 104405760. Its totient is φ = 16988160.

The previous prime is 44418013. The next prime is 44418043. The reversal of 44418040 is 4081444.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 44417996 and 44418014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44418043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139962 + ... + 140278.

It is an arithmetic number, because the mean of its divisors is an integer number (1631340).

Almost surely, 244418040 is an apocalyptic number.

44418040 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 44418040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52202880).

44418040 is an abundant number, since it is smaller than the sum of its proper divisors (59987720).

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

44418040 is a wasteful number, since it uses less digits than its factorization.

44418040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

The square root of 44418040 is about 6664.6860391169. The cubic root of 44418040 is about 354.1493618919.

Adding to 44418040 its reverse (4081444), we get a palindrome (48499484).

The spelling of 44418040 in words is "forty-four million, four hundred eighteen thousand, forty".

Divisors: 1 2 4 5 8 10 20 31 40 62 113 124 155 226 248 310 317 452 565 620 634 904 1130 1240 1268 1585 2260 2536 3170 3503 4520 6340 7006 9827 12680 14012 17515 19654 28024 35030 35821 39308 49135 70060 71642 78616 98270 140120 143284 179105 196540 286568 358210 393080 716420 1110451 1432840 2220902 4441804 5552255 8883608 11104510 22209020 44418040