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44142640 = 2452953359
BaseRepresentation
bin1010100001100…
…1000000110000
310002001200022121
42220121000300
542300031030
64214044024
71044130513
oct250310060
9102050277
1044142640
1122a10023
1212949614
1391b7309
145c10d7a
153d1e47a
hex2a19030

44142640 has 80 divisors (see below), whose sum is σ = 108475200. Its totient is φ = 16679936.

The previous prime is 44142629. The next prime is 44142649. The reversal of 44142640 is 4624144.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (44142649) 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, 122781 + ... + 123139.

It is an arithmetic number, because the mean of its divisors is an integer number (1355940).

Almost surely, 244142640 is an apocalyptic number.

44142640 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 44142640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54237600).

44142640 is an abundant number, since it is smaller than the sum of its proper divisors (64332560).

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

44142640 is a wasteful number, since it uses less digits than its factorization.

44142640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 44142640 is about 6643.9927754326. The cubic root of 44142640 is about 353.4159136121.

Adding to 44142640 its reverse (4624144), we get a palindrome (48766784).

The spelling of 44142640 in words is "forty-four million, one hundred forty-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 40 53 58 80 106 116 145 212 232 265 290 359 424 464 530 580 718 848 1060 1160 1436 1537 1795 2120 2320 2872 3074 3590 4240 5744 6148 7180 7685 10411 12296 14360 15370 19027 20822 24592 28720 30740 38054 41644 52055 61480 76108 83288 95135 104110 122960 152216 166576 190270 208220 304432 380540 416440 551783 761080 832880 1103566 1522160 2207132 2758915 4414264 5517830 8828528 11035660 22071320 44142640