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44195712 = 2731110463
BaseRepresentation
bin1010100010010…
…1111110000000
310002011101010020
42220211332000
542303230322
64215133440
71044441321
oct250457600
9102141106
1044195712
1122a46990
1212974280
139205512
145c26448
153d3005c
hex2a25f80

44195712 has 64 divisors (see below), whose sum is σ = 128079360. Its totient is φ = 13391360.

The previous prime is 44195689. The next prime is 44195713. The reversal of 44195712 is 21759144.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44195713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1008 + ... + 9455.

It is an arithmetic number, because the mean of its divisors is an integer number (2001240).

Almost surely, 244195712 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 44195712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64039680).

44195712 is an abundant number, since it is smaller than the sum of its proper divisors (83883648).

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

44195712 is a wasteful number, since it uses less digits than its factorization.

44195712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10491 (or 10479 counting only the distinct ones).

The product of its digits is 10080, while the sum is 33.

The square root of 44195712 is about 6647.9855595511. The cubic root of 44195712 is about 353.5574923479.

The spelling of 44195712 in words is "forty-four million, one hundred ninety-five thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 704 1056 1408 2112 4224 10463 20926 31389 41852 62778 83704 115093 125556 167408 230186 251112 334816 345279 460372 502224 669632 690558 920744 1004448 1339264 1381116 1841488 2008896 2762232 3682976 4017792 5524464 7365952 11048928 14731904 22097856 44195712