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54145440 = 25325191979
BaseRepresentation
bin1100111010001…
…1000110100000
310202212212120200
43032203012200
5102330123230
65212305200
71225141266
oct316430640
9122785520
1054145440
11286222a8
1216172200
13b2aa22b
147296436
154b48160
hex33a31a0

54145440 has 144 divisors (see below), whose sum is σ = 194594400. Its totient is φ = 13671936.

The previous prime is 54145439. The next prime is 54145463. The reversal of 54145440 is 4454145.

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

It is an unprimeable number.

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, 26371 + ... + 28349.

It is an arithmetic number, because the mean of its divisors is an integer number (1351350).

Almost surely, 254145440 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 54145440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97297200).

54145440 is an abundant number, since it is smaller than the sum of its proper divisors (140448960).

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

54145440 is a wasteful number, since it uses less digits than its factorization.

54145440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2019 (or 2008 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 54145440 is about 7358.3585126032. The cubic root of 54145440 is about 378.3153495088.

Adding to 54145440 its reverse (4454145), we get a palindrome (58599585).

The spelling of 54145440 in words is "fifty-four million, one hundred forty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 30 32 36 38 40 45 48 57 60 72 76 80 90 95 96 114 120 144 152 160 171 180 190 228 240 285 288 304 342 360 380 456 480 570 608 684 720 760 855 912 1140 1368 1440 1520 1710 1824 1979 2280 2736 3040 3420 3958 4560 5472 5937 6840 7916 9120 9895 11874 13680 15832 17811 19790 23748 27360 29685 31664 35622 37601 39580 47496 59370 63328 71244 75202 79160 89055 94992 112803 118740 142488 150404 158320 178110 188005 189984 225606 237480 284976 300808 316640 338409 356220 376010 451212 474960 564015 569952 601616 676818 712440 752020 902424 949920 1128030 1203232 1353636 1424880 1504040 1692045 1804848 2256060 2707272 2849760 3008080 3384090 3609696 4512120 5414544 6016160 6768180 9024240 10829088 13536360 18048480 27072720 54145440