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44434496 = 262989269
BaseRepresentation
bin1010100110000…
…0010001000000
310002121111200002
42221200101000
542333400441
64224215132
71046454431
oct251402100
9102544602
1044434496
112309a327
1212a6a4a8
13928a102
145c89488
153d7ab9b
hex2a60440

44434496 has 56 divisors (see below), whose sum is σ = 92583000. Its totient is φ = 21131264.

The previous prime is 44434471. The next prime is 44434519. The reversal of 44434496 is 69443444.

It can be written as a sum of positive squares in 4 ways, for example, as 25600 + 44408896 = 160^2 + 6664^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 165050 + ... + 165318.

Almost surely, 244434496 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 44434496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46291500).

44434496 is an abundant number, since it is smaller than the sum of its proper divisors (48148504).

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

44434496 is a wasteful number, since it uses less digits than its factorization.

44434496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 389 counting only the distinct ones).

The product of its digits is 165888, while the sum is 38.

The square root of 44434496 is about 6665.9204915750. The cubic root of 44434496 is about 354.1930915893.

The spelling of 44434496 in words is "forty-four million, four hundred thirty-four thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 29 32 58 64 89 116 178 232 269 356 464 538 712 928 1076 1424 1856 2152 2581 2848 4304 5162 5696 7801 8608 10324 15602 17216 20648 23941 31204 41296 47882 62408 82592 95764 124816 165184 191528 249632 383056 499264 694289 766112 1388578 1532224 2777156 5554312 11108624 22217248 44434496