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55492560 = 24335231117
BaseRepresentation
bin1101001110101…
…1111111010000
310212102022111000
43103223333100
5103201230220
65301222000
71242451614
oct323537720
9125368430
1055492560
1129362422
1216701900
13b65c446
147527344
154d12390
hex34ebfd0

55492560 has 160 divisors (see below), whose sum is σ = 199630080. Its totient is φ = 14141952.

The previous prime is 55492529. The next prime is 55492561. The reversal of 55492560 is 6529455.

55492560 is a `hidden beast` number, since 5 + 5 + 4 + 92 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55492561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49122 + ... + 50238.

It is an arithmetic number, because the mean of its divisors is an integer number (1247688).

Almost surely, 255492560 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 55492560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99815040).

55492560 is an abundant number, since it is smaller than the sum of its proper divisors (144137520).

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

55492560 is a wasteful number, since it uses less digits than its factorization.

55492560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1162 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 55492560 is about 7449.3328560348. The cubic root of 55492560 is about 381.4271358180.

The spelling of 55492560 in words is "fifty-five million, four hundred ninety-two thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 27 30 36 40 45 46 48 54 60 69 72 80 90 92 108 115 120 135 138 144 180 184 207 216 230 240 270 276 345 360 368 414 432 460 540 552 621 690 720 828 920 1035 1080 1104 1117 1242 1380 1656 1840 2070 2160 2234 2484 2760 3105 3312 3351 4140 4468 4968 5520 5585 6210 6702 8280 8936 9936 10053 11170 12420 13404 16560 16755 17872 20106 22340 24840 25691 26808 30159 33510 40212 44680 49680 50265 51382 53616 60318 67020 77073 80424 89360 100530 102764 120636 128455 134040 150795 154146 160848 201060 205528 231219 241272 256910 268080 301590 308292 385365 402120 411056 462438 482544 513820 603180 616584 693657 770730 804240 924876 1027640 1156095 1206360 1233168 1387314 1541460 1849752 2055280 2312190 2412720 2774628 3082920 3468285 3699504 4624380 5549256 6165840 6936570 9248760 11098512 13873140 18497520 27746280 55492560