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54228480 = 293523307
BaseRepresentation
bin1100111011011…
…1011000000000
310210001002111020
43032313120000
5102340302410
65214145440
71225635345
oct316673000
9123032436
1054228480
1128679729
12161b2280
13b308c77
1472b87cc
154b62a70
hex33b7600

54228480 has 160 divisors (see below), whose sum is σ = 181488384. Its totient is φ = 13787136.

The previous prime is 54228443. The next prime is 54228491. The reversal of 54228480 is 8482245.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×542284802 = 5881456086220800, which contains 22 as substring.

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, 176487 + ... + 176793.

Almost surely, 254228480 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 54228480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90744192).

54228480 is an abundant number, since it is smaller than the sum of its proper divisors (127259904).

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

54228480 is a wasteful number, since it uses less digits than its factorization.

54228480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 33.

The square root of 54228480 is about 7363.9989136338. The cubic root of 54228480 is about 378.5086514766.

The spelling of 54228480 in words is "fifty-four million, two hundred twenty-eight thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 64 69 80 92 96 115 120 128 138 160 184 192 230 240 256 276 307 320 345 368 384 460 480 512 552 614 640 690 736 768 920 921 960 1104 1228 1280 1380 1472 1535 1536 1840 1842 1920 2208 2456 2560 2760 2944 3070 3680 3684 3840 4416 4605 4912 5520 5888 6140 7061 7360 7368 7680 8832 9210 9824 11040 11776 12280 14122 14720 14736 17664 18420 19648 21183 22080 24560 28244 29440 29472 35305 35328 36840 39296 42366 44160 49120 56488 58880 58944 70610 73680 78592 84732 88320 98240 105915 112976 117888 141220 147360 157184 169464 176640 196480 211830 225952 235776 282440 294720 338928 392960 423660 451904 471552 564880 589440 677856 785920 847320 903808 1129760 1178880 1355712 1694640 1807616 2259520 2357760 2711424 3389280 3615232 4519040 5422848 6778560 9038080 10845696 13557120 18076160 27114240 54228480