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44408896 = 2674172
BaseRepresentation
bin1010100101101…
…0000001000000
310002120012112221
42221122001000
542332041041
64223500424
71046320000
oct251320100
9102505487
1044408896
1123082074
1212a57714
13927b56c
145c80000
153d732d1
hex2a5a040

44408896 has 105 divisors (see below), whose sum is σ = 109208189. Its totient is φ = 17912832.

The previous prime is 44408857. The next prime is 44408899. The reversal of 44408896 is 69880444.

It is a happy number.

The square root of 44408896 is 6664.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 34574400 + 9834496 = 5880^2 + 3136^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (44408899) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 2612280 + ... + 2612296.

Almost surely, 244408896 is an apocalyptic number.

44408896 is the 6664-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44408896

44408896 is an abundant number, since it is smaller than the sum of its proper divisors (64799293).

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

44408896 is an frugal number, since it uses more digits than its factorization.

44408896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 26 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 43.

The cubic root of 44408896 is about 354.1250582230.

The spelling of 44408896 in words is "forty-four million, four hundred eight thousand, eight hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 49 56 64 68 98 112 119 136 196 224 238 272 289 343 392 448 476 544 578 686 784 833 952 1088 1156 1372 1568 1666 1904 2023 2312 2401 2744 3136 3332 3808 4046 4624 4802 5488 5831 6664 7616 8092 9248 9604 10976 11662 13328 14161 16184 18496 19208 21952 23324 26656 28322 32368 38416 40817 46648 53312 56644 64736 76832 81634 93296 99127 113288 129472 153664 163268 186592 198254 226576 326536 373184 396508 453152 653072 693889 793016 906304 1306144 1387778 1586032 2612288 2775556 3172064 5551112 6344128 11102224 22204448 44408896