Search a number
-
+
544011072 = 263111791439
BaseRepresentation
bin100000011011001…
…111001101000000
31101220122121220020
4200123033031000
52103231323242
6125552013440
716324006053
oct4033171500
91356577806
10544011072
1125a097630
12132231280
1388924557
1452370a9a
1532b5d6ec
hex206cf340

544011072 has 112 divisors (see below), whose sum is σ = 1580083200. Its totient is φ = 163816960.

The previous prime is 544011053. The next prime is 544011077. The reversal of 544011072 is 270110445.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (544011077) 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, 377329 + ... + 378767.

Almost surely, 2544011072 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 544011072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790041600).

544011072 is an abundant number, since it is smaller than the sum of its proper divisors (1036072128).

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

544011072 is a wasteful number, since it uses less digits than its factorization.

544011072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1644 (or 1634 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 544011072 is about 23324.0449322153. The cubic root of 544011072 is about 816.3365585916.

The spelling of 544011072 in words is "five hundred forty-four million, eleven thousand, seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 179 192 264 352 358 528 537 704 716 1056 1074 1432 1439 1969 2112 2148 2864 2878 3938 4296 4317 5728 5756 5907 7876 8592 8634 11456 11512 11814 15752 15829 17184 17268 23024 23628 31504 31658 34368 34536 46048 47256 47487 63008 63316 69072 92096 94512 94974 126016 126632 138144 189024 189948 253264 257581 276288 378048 379896 506528 515162 759792 772743 1013056 1030324 1519584 1545486 2060648 2833391 3039168 3090972 4121296 5666782 6181944 8242592 8500173 11333564 12363888 16485184 17000346 22667128 24727776 34000692 45334256 49455552 68001384 90668512 136002768 181337024 272005536 544011072