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44457216 = 283107541
BaseRepresentation
bin1010100110010…
…1110100000000
310002122122211120
42221211310000
542340112331
64224512240
71046610606
oct251456400
9102578746
1044457216
1123105401
1212a7b680
13929755b
145c93876
153d82796
hex2a65d00

44457216 has 72 divisors (see below), whose sum is σ = 119647584. Its totient is φ = 14653440.

The previous prime is 44457211. The next prime is 44457241. The reversal of 44457216 is 61275444.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44457211) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81906 + ... + 82446.

It is an arithmetic number, because the mean of its divisors is an integer number (1661772).

Almost surely, 244457216 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 44457216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59823792).

44457216 is an abundant number, since it is smaller than the sum of its proper divisors (75190368).

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

44457216 is a wasteful number, since it uses less digits than its factorization.

44457216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667 (or 653 counting only the distinct ones).

The product of its digits is 26880, while the sum is 33.

The square root of 44457216 is about 6667.6244645301. The cubic root of 44457216 is about 354.2534493188.

The spelling of 44457216 in words is "forty-four million, four hundred fifty-seven thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 107 128 192 214 256 321 384 428 541 642 768 856 1082 1284 1623 1712 2164 2568 3246 3424 4328 5136 6492 6848 8656 10272 12984 13696 17312 20544 25968 27392 34624 41088 51936 57887 69248 82176 103872 115774 138496 173661 207744 231548 347322 415488 463096 694644 926192 1389288 1852384 2778576 3704768 5557152 7409536 11114304 14819072 22228608 44457216