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54945280 = 295132127
BaseRepresentation
bin1101000110011…
…0011000000000
310211101111202101
43101212120000
5103031222110
65241400144
71235012215
oct321463000
9124344671
1054945280
1129019225
1216499054
13b4ca300
147423b0c
154c5513a
hex3466600

54945280 has 120 divisors (see below), whose sum is σ = 143776512. Its totient is φ = 20127744.

The previous prime is 54945277. The next prime is 54945281. The reversal of 54945280 is 8254945.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54945281) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 432577 + ... + 432703.

Almost surely, 254945280 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 54945280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71888256).

54945280 is an abundant number, since it is smaller than the sum of its proper divisors (88831232).

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

54945280 is a wasteful number, since it uses less digits than its factorization.

54945280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 37.

The square root of 54945280 is about 7412.5083473815. The cubic root of 54945280 is about 380.1690844946.

It can be divided in two parts, 54945 and 280, that added together give a square (55225 = 2352).

The spelling of 54945280 in words is "fifty-four million, nine hundred forty-five thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 127 128 130 160 169 208 254 256 260 320 338 416 508 512 520 635 640 676 832 845 1016 1040 1270 1280 1352 1651 1664 1690 2032 2080 2540 2560 2704 3302 3328 3380 4064 4160 5080 5408 6604 6656 6760 8128 8255 8320 10160 10816 13208 13520 16256 16510 16640 20320 21463 21632 26416 27040 32512 33020 33280 40640 42926 43264 52832 54080 65024 66040 81280 85852 86528 105664 107315 108160 132080 162560 171704 211328 214630 216320 264160 325120 343408 422656 429260 432640 528320 686816 845312 858520 1056640 1373632 1717040 2113280 2747264 3434080 4226560 5494528 6868160 10989056 13736320 27472640 54945280