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54039440 = 2457132571
BaseRepresentation
bin1100111000100…
…1001110010000
310202200111011202
43032021032100
5102313230230
65210130332
71224220250
oct316111620
9122614152
1054039440
112855a6a4
12161209a8
13b270c00
147269960
154b26a45
hex3389390

54039440 has 120 divisors (see below), whose sum is σ = 155757888. Its totient is φ = 17072640.

The previous prime is 54039437. The next prime is 54039451. The reversal of 54039440 is 4493045.

It is a super-2 number, since 2×540394402 = 5840522151027200, which contains 22 as substring.

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, 94355 + ... + 94925.

Almost surely, 254039440 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 54039440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77878944).

54039440 is an abundant number, since it is smaller than the sum of its proper divisors (101718448).

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

54039440 is a wasteful number, since it uses less digits than its factorization.

54039440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 54039440 is about 7351.1522906276. The cubic root of 54039440 is about 378.0683134748.

The spelling of 54039440 in words is "fifty-four million, thirty-nine thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 65 70 80 91 104 112 130 140 169 182 208 260 280 338 364 455 520 560 571 676 728 845 910 1040 1142 1183 1352 1456 1690 1820 2284 2366 2704 2855 3380 3640 3997 4568 4732 5710 5915 6760 7280 7423 7994 9136 9464 11420 11830 13520 14846 15988 18928 19985 22840 23660 29692 31976 37115 39970 45680 47320 51961 59384 63952 74230 79940 94640 96499 103922 118768 148460 159880 192998 207844 259805 296920 319760 385996 415688 482495 519610 593840 675493 771992 831376 964990 1039220 1350986 1543984 1929980 2078440 2701972 3377465 3859960 4156880 5403944 6754930 7719920 10807888 13509860 27019720 54039440