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44113248 = 25363161
BaseRepresentation
bin1010100001000…
…1110101100000
310002000012000000
42220101311200
542243110443
64213300000
71043646024
oct250216540
9102005000
1044113248
112299aa33
1212934600
1391a6b1a
145c04384
153d158d3
hex2a11d60

44113248 has 168 divisors, whose sum is σ = 136616256. Its totient is φ = 13996800.

The previous prime is 44113247. The next prime is 44113259. The reversal of 44113248 is 84231144.

44113248 is a `hidden beast` number, since 4 + 411 + 3 + 248 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44113247) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 723138 + ... + 723198.

It is an arithmetic number, because the mean of its divisors is an integer number (813192).

Almost surely, 244113248 is an apocalyptic number.

44113248 is a gapful number since it is divisible by the number (48) 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 44113248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68308128).

44113248 is an abundant number, since it is smaller than the sum of its proper divisors (92503008).

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

44113248 is an equidigital number, since it uses as much as digits as its factorization.

44113248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 97 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 44113248 is about 6641.7804841774. The cubic root of 44113248 is about 353.3374565398.

It can be divided in two parts, 441 and 13248, that added together give a square (13689 = 1172).

The spelling of 44113248 in words is "forty-four million, one hundred thirteen thousand, two hundred forty-eight".