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54757780 = 22571131237
BaseRepresentation
bin1101000011100…
…0100110010100
310211000222112221
43100320212110
5103004222110
65233352124
71233301450
oct320704624
9124028487
1054757780
1128a00370
1216408644
13b462b6c
1473b5660
154c197da
hex3438994

54757780 has 144 divisors (see below), whose sum is σ = 152143488. Its totient is φ = 16070400.

The previous prime is 54757757. The next prime is 54757783. The reversal of 54757780 is 8775745.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54757783) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1479922 + ... + 1479958.

It is an arithmetic number, because the mean of its divisors is an integer number (1056552).

Almost surely, 254757780 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 54757780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76071744).

54757780 is an abundant number, since it is smaller than the sum of its proper divisors (97385708).

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

54757780 is a wasteful number, since it uses less digits than its factorization.

54757780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 274400, while the sum is 43.

The square root of 54757780 is about 7399.8499984797. The cubic root of 54757780 is about 379.7361510985.

The spelling of 54757780 in words is "fifty-four million, seven hundred fifty-seven thousand, seven hundred eighty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 31 35 37 44 55 62 70 74 77 110 124 140 148 154 155 185 217 220 259 308 310 341 370 385 407 434 518 620 682 740 770 814 868 961 1036 1085 1147 1295 1364 1540 1628 1705 1922 2035 2170 2294 2387 2590 2849 3410 3844 4070 4340 4588 4774 4805 5180 5698 5735 6727 6820 8029 8140 9548 9610 10571 11396 11470 11935 12617 13454 14245 16058 19220 21142 22940 23870 25234 26908 28490 32116 33635 35557 40145 42284 47740 50468 52855 56980 63085 67270 71114 73997 80290 88319 105710 126170 134540 142228 147994 160580 176638 177785 211420 248899 252340 295988 353276 355570 369985 391127 441595 497798 711140 739970 782254 883190 995596 1244495 1479940 1564508 1766380 1955635 2488990 2737889 3911270 4977980 5475778 7822540 10951556 13689445 27378890 54757780