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56487780 = 2235559197
BaseRepresentation
bin1101011101111…
…0111101100100
310221021212200000
43113132331210
5103430102110
65334421300
71254065256
oct327367544
9127255600
1056487780
1129982118
1216b01830
13b91a42b
147705cd6
154e5c1c0
hex35def64

56487780 has 144 divisors (see below), whose sum is σ = 181621440. Its totient is φ = 14732928.

The previous prime is 56487757. The next prime is 56487799. The reversal of 56487780 is 8778465.

56487780 is a `hidden beast` number, since 564 + 8 + 7 + 7 + 80 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 286642 + ... + 286838.

It is an arithmetic number, because the mean of its divisors is an integer number (1261260).

Almost surely, 256487780 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 56487780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90810720).

56487780 is an abundant number, since it is smaller than the sum of its proper divisors (125133660).

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

56487780 is a wasteful number, since it uses less digits than its factorization.

56487780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 56487780 is about 7515.8352829210. The cubic root of 56487780 is about 383.6938477753.

The spelling of 56487780 in words is "fifty-six million, four hundred eighty-seven thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 59 60 81 90 108 118 135 162 177 180 197 236 243 270 295 324 354 394 405 486 531 540 590 591 708 788 810 885 972 985 1062 1180 1182 1215 1593 1620 1770 1773 1970 2124 2364 2430 2655 2955 3186 3540 3546 3940 4779 4860 5310 5319 5910 6372 7092 7965 8865 9558 10620 10638 11623 11820 14337 15930 15957 17730 19116 21276 23246 23895 26595 28674 31860 31914 34869 35460 46492 47790 47871 53190 57348 58115 63828 69738 71685 79785 95580 95742 104607 106380 116230 139476 143370 159570 174345 191484 209214 232460 239355 286740 313821 319140 348690 418428 478710 523035 627642 697380 941463 957420 1046070 1255284 1569105 1882926 2092140 2824389 3138210 3765852 4707315 5648778 6276420 9414630 11297556 14121945 18829260 28243890 56487780