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44404480 = 285113307
BaseRepresentation
bin1010100101100…
…0111100000000
310002112222111101
42221120330000
542331420410
64223424144
71046301061
oct251307400
9102488441
1044404480
112307981a
1212a55054
139279553
145c7c568
153d71d3a
hex2a58f00

44404480 has 72 divisors (see below), whose sum is σ = 107653392. Its totient is φ = 17547264.

The previous prime is 44404457. The next prime is 44404487. The reversal of 44404480 is 8440444.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44404487) 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, 144487 + ... + 144793.

It is an arithmetic number, because the mean of its divisors is an integer number (1495186).

Almost surely, 244404480 is an apocalyptic number.

44404480 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 44404480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53826696).

44404480 is an abundant number, since it is smaller than the sum of its proper divisors (63248912).

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

44404480 is a wasteful number, since it uses less digits than its factorization.

44404480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

The square root of 44404480 is about 6663.6686592297. The cubic root of 44404480 is about 354.1133198235.

The spelling of 44404480 in words is "forty-four million, four hundred four thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 113 128 160 226 256 307 320 452 565 614 640 904 1130 1228 1280 1535 1808 2260 2456 3070 3616 4520 4912 6140 7232 9040 9824 12280 14464 18080 19648 24560 28928 34691 36160 39296 49120 69382 72320 78592 98240 138764 144640 173455 196480 277528 346910 392960 555056 693820 1110112 1387640 2220224 2775280 4440448 5550560 8880896 11101120 22202240 44404480