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54676980 = 223252347281
BaseRepresentation
bin1101000010010…
…0110111110100
310210212212201100
43100210313310
5102444130410
65231530100
71232514051
oct320446764
9123785640
1054676980
1128955696
1216389930
13b435157
147394028
154c008c0
hex3424df4

54676980 has 144 divisors (see below), whose sum is σ = 177375744. Its totient is φ = 13601280.

The previous prime is 54676967. The next prime is 54676987. The reversal of 54676980 is 8967645.

54676980 is digitally balanced in base 2 and base 9, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

54676980 is strictly pandigital in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54676987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 194440 + ... + 194720.

It is an arithmetic number, because the mean of its divisors is an integer number (1231776).

Almost surely, 254676980 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 54676980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88687872).

54676980 is an abundant number, since it is smaller than the sum of its proper divisors (122698764).

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

54676980 is a wasteful number, since it uses less digits than its factorization.

54676980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 54676980 is about 7394.3884128439. The cubic root of 54676980 is about 379.5492809400.

The spelling of 54676980 in words is "fifty-four million, six hundred seventy-six thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 47 60 69 90 92 94 115 138 141 180 188 207 230 235 276 281 282 345 414 423 460 470 562 564 690 705 828 843 846 940 1035 1081 1124 1380 1405 1410 1686 1692 2070 2115 2162 2529 2810 2820 3243 3372 4140 4215 4230 4324 5058 5405 5620 6463 6486 8430 8460 9729 10116 10810 12645 12926 12972 13207 16215 16860 19389 19458 21620 25290 25852 26414 32315 32430 38778 38916 39621 48645 50580 52828 58167 64630 64860 66035 77556 79242 96945 97290 116334 118863 129260 132070 158484 193890 194580 198105 232668 237726 264140 290835 303761 387780 396210 475452 581670 594315 607522 792420 911283 1163340 1188630 1215044 1518805 1822566 2377260 2733849 3037610 3645132 4556415 5467698 6075220 9112830 10935396 13669245 18225660 27338490 54676980