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44130008 = 23131923971
BaseRepresentation
bin1010100001010…
…1111011011000
310002001000222202
42220111323120
542244130013
64213505332
71044045626
oct250257330
9102030882
1044130008
1122a0158a
1212942248
1391b1640
145c0a516
153d1a858
hex2a15ed8

44130008 has 64 divisors (see below), whose sum is σ = 97977600. Its totient is φ = 18437760.

The previous prime is 44130007. The next prime is 44130049. The reversal of 44130008 is 80003144.

44130008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44130007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44963 + ... + 45933.

It is an arithmetic number, because the mean of its divisors is an integer number (1530900).

Almost surely, 244130008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44130008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48988800).

44130008 is an abundant number, since it is smaller than the sum of its proper divisors (53847592).

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

44130008 is a wasteful number, since it uses less digits than its factorization.

44130008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1032 (or 1028 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 44130008 is about 6643.0420742308. The cubic root of 44130008 is about 353.3821988506.

The spelling of 44130008 in words is "forty-four million, one hundred thirty thousand, eight".

Divisors: 1 2 4 8 13 19 23 26 38 46 52 76 92 104 152 184 247 299 437 494 598 874 971 988 1196 1748 1942 1976 2392 3496 3884 5681 7768 11362 12623 18449 22333 22724 25246 36898 44666 45448 50492 73796 89332 100984 147592 178664 239837 290329 424327 479674 580658 848654 959348 1161316 1697308 1918696 2322632 3394616 5516251 11032502 22065004 44130008