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54445440 = 273574051
BaseRepresentation
bin1100111110110…
…0010110000000
310210110010002210
43033230112000
5102414223230
65222542120
71230531030
oct317542600
9123403083
1054445440
1128807735
1216297940
13b38394a
1473338c0
154ba6eb0
hex33ec580

54445440 has 128 divisors (see below), whose sum is σ = 198385920. Its totient is φ = 12441600.

The previous prime is 54445399. The next prime is 54445451. The reversal of 54445440 is 4454445.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 54445398 and 54445407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11415 + ... + 15465.

It is an arithmetic number, because the mean of its divisors is an integer number (1549890).

Almost surely, 254445440 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 54445440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99192960).

54445440 is an abundant number, since it is smaller than the sum of its proper divisors (143940480).

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

54445440 is a wasteful number, since it uses less digits than its factorization.

54445440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4080 (or 4068 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 30.

The square root of 54445440 is about 7378.7153353412. The cubic root of 54445440 is about 379.0127651917.

Adding to 54445440 its reverse (4454445), we get a palindrome (58899885).

The spelling of 54445440 in words is "fifty-four million, four hundred forty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 280 320 336 384 420 448 480 560 640 672 840 896 960 1120 1344 1680 1920 2240 2688 3360 4051 4480 6720 8102 12153 13440 16204 20255 24306 28357 32408 40510 48612 56714 60765 64816 81020 85071 97224 113428 121530 129632 141785 162040 170142 194448 226856 243060 259264 283570 324080 340284 388896 425355 453712 486120 518528 567140 648160 680568 777792 850710 907424 972240 1134280 1296320 1361136 1555584 1701420 1814848 1944480 2268560 2592640 2722272 3402840 3629696 3888960 4537120 5444544 6805680 7777920 9074240 10889088 13611360 18148480 27222720 54445440