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544212768 = 253112232311
BaseRepresentation
bin100000011100000…
…000011100100000
31101221000212120110
4200130000130200
52103304302033
6130000211320
716325506101
oct4034003440
91357025513
10544212768
1125a215120
12132309b40
13889952b8
14523c43a8
1532b9d363
hex20700720

544212768 has 96 divisors (see below), whose sum is σ = 1566093312. Its totient is φ = 164102400.

The previous prime is 544212731. The next prime is 544212769. The reversal of 544212768 is 867212445.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (544212769) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 234333 + ... + 236643.

It is an arithmetic number, because the mean of its divisors is an integer number (16313472).

Almost surely, 2544212768 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 544212768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783046656).

544212768 is an abundant number, since it is smaller than the sum of its proper divisors (1021880544).

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

544212768 is a wasteful number, since it uses less digits than its factorization.

544212768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2558 (or 2550 counting only the distinct ones).

The product of its digits is 107520, while the sum is 39.

The square root of 544212768 is about 23328.3683098497. The cubic root of 544212768 is about 816.4374336673.

It can be divided in two parts, 544 and 212768, that added together give a palindrome (213312).

The spelling of 544212768 in words is "five hundred forty-four million, two hundred twelve thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 223 264 352 446 528 669 892 1056 1338 1784 2311 2453 2676 3568 4622 4906 5352 6933 7136 7359 9244 9812 10704 13866 14718 18488 19624 21408 25421 27732 29436 36976 39248 50842 55464 58872 73952 76263 78496 101684 110928 117744 152526 203368 221856 235488 305052 406736 515353 610104 813472 1030706 1220208 1546059 2061412 2440416 3092118 4122824 5668883 6184236 8245648 11337766 12368472 16491296 17006649 22675532 24736944 34013298 45351064 49473888 68026596 90702128 136053192 181404256 272106384 544212768