Search a number
-
+
544240480 = 2557796151
BaseRepresentation
bin100000011100000…
…111001101100000
31101221002021120211
4200130013031200
52103311143410
6130000543504
716325652640
oct4034071540
91357067524
10544240480
1125a233a23
12132321b94
13889a4ab4
14523d0520
1532ba668a
hex20707360

544240480 has 96 divisors (see below), whose sum is σ = 1488291840. Its totient is φ = 184204800.

The previous prime is 544240469. The next prime is 544240481. The reversal of 544240480 is 84042445.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (544240481) 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 15 ways as a sum of consecutive naturals, for example, 85405 + ... + 91555.

It is an arithmetic number, because the mean of its divisors is an integer number (15503040).

Almost surely, 2544240480 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 544240480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744145920).

544240480 is an abundant number, since it is smaller than the sum of its proper divisors (944051360).

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

544240480 is a wasteful number, since it uses less digits than its factorization.

544240480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6252 (or 6244 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 31.

The square root of 544240480 is about 23328.9622572458. The cubic root of 544240480 is about 816.4512914397.

The spelling of 544240480 in words is "five hundred forty-four million, two hundred forty thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 79 80 112 140 158 160 224 280 316 395 553 560 632 790 1106 1120 1264 1580 2212 2528 2765 3160 4424 5530 6151 6320 8848 11060 12302 12640 17696 22120 24604 30755 43057 44240 49208 61510 86114 88480 98416 123020 172228 196832 215285 246040 344456 430570 485929 492080 688912 861140 971858 984160 1377824 1722280 1943716 2429645 3401503 3444560 3887432 4859290 6803006 6889120 7774864 9718580 13606012 15549728 17007515 19437160 27212024 34015030 38874320 54424048 68030060 77748640 108848096 136060120 272120240 544240480