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44749440 = 2732517457
BaseRepresentation
bin1010101010110…
…1001010000000
310010012111200200
42222231022000
542423440230
64235045200
71052235561
oct252551200
9103174620
1044749440
1123294a0a
1212ba0800
13936a578
145d2c168
153dde160
hex2aad280

44749440 has 192 divisors, whose sum is σ = 163973160. Its totient is φ = 11206656.

The previous prime is 44749429. The next prime is 44749489. The reversal of 44749440 is 4494744.

It can be written as a sum of positive squares in 4 ways, for example, as 44195904 + 553536 = 6648^2 + 744^2 .

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a junction number, because it is equal to n+sod(n) for n = 44749395 and 44749404.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97692 + ... + 98148.

Almost surely, 244749440 is an apocalyptic number.

44749440 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 44749440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81986580).

44749440 is an abundant number, since it is smaller than the sum of its proper divisors (119223720).

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

44749440 is a wasteful number, since it uses less digits than its factorization.

44749440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 44749440 is about 6689.5022236337. The cubic root of 44749440 is about 355.0279419916.

The spelling of 44749440 in words is "forty-four million, seven hundred forty-nine thousand, four hundred forty".