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44149248 = 2932111367
BaseRepresentation
bin1010100001101…
…0101000000000
310002002000101100
42220122220000
542300233443
64214134400
71044156003
oct250325000
9102060340
1044149248
1122a14a90
1212951400
1391ba320
145c1353a
153d213d3
hex2a1aa00

44149248 has 240 divisors, whose sum is σ = 151927776. Its totient is φ = 12165120.

The previous prime is 44149241. The next prime is 44149253. The reversal of 44149248 is 84294144.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

Its product of digits (36864) is a multiple of the sum of its prime divisors (96).

It is not an unprimeable number, because it can be changed into a prime (44149241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 658911 + ... + 658977.

Almost surely, 244149248 is an apocalyptic number.

44149248 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 44149248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75963888).

44149248 is an abundant number, since it is smaller than the sum of its proper divisors (107778528).

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

44149248 is a wasteful number, since it uses less digits than its factorization.

44149248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 96 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 44149248 is about 6644.4900481527. The cubic root of 44149248 is about 353.4335477774.

Subtracting 44149248 from its reverse (84294144), we obtain a square (40144896 = 63362).

The spelling of 44149248 in words is "forty-four million, one hundred forty-nine thousand, two hundred forty-eight".