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54989280 = 253454243
BaseRepresentation
bin1101000111000…
…1000111100000
310211110202010000
43101301013200
5103034124110
65242340000
71235254413
oct321610740
9124422100
1054989280
1129049295
12164ba600
13b514348
147435b7a
154c631c0
hex34711e0

54989280 has 120 divisors (see below), whose sum is σ = 194112072. Its totient is φ = 14660352.

The previous prime is 54989279. The next prime is 54989299. The reversal of 54989280 is 8298945.

54989280 is a `hidden beast` number, since 549 + 89 + 28 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 10839 + ... + 15081.

Almost surely, 254989280 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 54989280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97056036).

54989280 is an abundant number, since it is smaller than the sum of its proper divisors (139122792).

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

54989280 is a wasteful number, since it uses less digits than its factorization.

54989280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4270 (or 4253 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 54989280 is about 7415.4757096224. The cubic root of 54989280 is about 380.2705368038.

The spelling of 54989280 in words is "fifty-four million, nine hundred eighty-nine thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 81 90 96 108 120 135 144 160 162 180 216 240 270 288 324 360 405 432 480 540 648 720 810 864 1080 1296 1440 1620 2160 2592 3240 4243 4320 6480 8486 12729 12960 16972 21215 25458 33944 38187 42430 50916 63645 67888 76374 84860 101832 114561 127290 135776 152748 169720 190935 203664 229122 254580 305496 339440 343683 381870 407328 458244 509160 572805 610992 678880 687366 763740 916488 1018320 1145610 1221984 1374732 1527480 1718415 1832976 2036640 2291220 2749464 3054960 3436830 3665952 4582440 5498928 6109920 6873660 9164880 10997856 13747320 18329760 27494640 54989280