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544133664 = 25324761659
BaseRepresentation
bin100000011011101…
…101001000100000
31101220212212001200
4200123231020200
52103244234124
6125554401200
716325026344
oct4033551040
91356785050
10544133664
1125a170748
12132290200
13889682a9
14523a3624
1532b84bc9
hex206ed220

544133664 has 144 divisors (see below), whose sum is σ = 1608647040. Its totient is φ = 174343680.

The previous prime is 544133663. The next prime is 544133677. The reversal of 544133664 is 466331445.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (544133663) 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 23 ways as a sum of consecutive naturals, for example, 825367 + ... + 826025.

It is an arithmetic number, because the mean of its divisors is an integer number (11171160).

Almost surely, 2544133664 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 544133664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804323520).

544133664 is an abundant number, since it is smaller than the sum of its proper divisors (1064513376).

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

544133664 is a wasteful number, since it uses less digits than its factorization.

544133664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 783 (or 772 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 544133664 is about 23326.6728017521. The cubic root of 544133664 is about 816.3978740195.

The spelling of 544133664 in words is "five hundred forty-four million, one hundred thirty-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 47 48 61 72 94 96 122 141 144 183 188 244 282 288 366 376 423 488 549 564 659 732 752 846 976 1098 1128 1318 1464 1504 1692 1952 1977 2196 2256 2636 2867 2928 3384 3954 4392 4512 5272 5734 5856 5931 6768 7908 8601 8784 10544 11468 11862 13536 15816 17202 17568 21088 22936 23724 25803 30973 31632 34404 40199 45872 47448 51606 61946 63264 68808 80398 91744 92919 94896 103212 120597 123892 137616 160796 185838 189792 206424 241194 247784 275232 278757 321592 361791 371676 412848 482388 495568 557514 643184 723582 743352 825696 964776 991136 1115028 1286368 1447164 1486704 1889353 1929552 2230056 2894328 2973408 3778706 3859104 4460112 5668059 5788656 7557412 8920224 11336118 11577312 15114824 17004177 22672236 30229648 34008354 45344472 60459296 68016708 90688944 136033416 181377888 272066832 544133664