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54225240 = 233517191399
BaseRepresentation
bin1100111011011…
…0100101011000
310210000221001020
43032312211120
5102340201430
65214122440
71225623036
oct316664530
9123027036
1054225240
1128677253
12161b0420
13b307654
1472b7556
154b61b10
hex33b6958

54225240 has 128 divisors (see below), whose sum is σ = 181440000. Its totient is φ = 12883968.

The previous prime is 54225233. The next prime is 54225319. The reversal of 54225240 is 4252245.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 54225240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38061 + ... + 39459.

It is an arithmetic number, because the mean of its divisors is an integer number (1417500).

Almost surely, 254225240 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 54225240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90720000).

54225240 is an abundant number, since it is smaller than the sum of its proper divisors (127214760).

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

54225240 is a wasteful number, since it uses less digits than its factorization.

54225240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1449 (or 1445 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 24.

The square root of 54225240 is about 7363.7789211790. The cubic root of 54225240 is about 378.5011130487.

Adding to 54225240 its reverse (4252245), we get a palindrome (58477485).

The spelling of 54225240 in words is "fifty-four million, two hundred twenty-five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 19 20 24 30 34 38 40 51 57 60 68 76 85 95 102 114 120 136 152 170 190 204 228 255 285 323 340 380 408 456 510 570 646 680 760 969 1020 1140 1292 1399 1615 1938 2040 2280 2584 2798 3230 3876 4197 4845 5596 6460 6995 7752 8394 9690 11192 12920 13990 16788 19380 20985 23783 26581 27980 33576 38760 41970 47566 53162 55960 71349 79743 83940 95132 106324 118915 132905 142698 159486 167880 190264 212648 237830 265810 285396 318972 356745 398715 451877 475660 531620 570792 637944 713490 797430 903754 951320 1063240 1355631 1426980 1594860 1807508 2259385 2711262 2853960 3189720 3615016 4518770 5422524 6778155 9037540 10845048 13556310 18075080 27112620 54225240