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55009560 = 233519231049
BaseRepresentation
bin1101000111011…
…0000100011000
310211111202221010
43101312010120
5103040301220
65243013520
71235400504
oct321660430
9124452833
1055009560
1129062551
121650a2a0
13b520648
14743d304
154c691e0
hex3476118

55009560 has 128 divisors (see below), whose sum is σ = 181440000. Its totient is φ = 13280256.

The previous prime is 55009553. The next prime is 55009561. The reversal of 55009560 is 6590055.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55009561) 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 31 ways as a sum of consecutive naturals, for example, 51916 + ... + 52964.

It is an arithmetic number, because the mean of its divisors is an integer number (1417500).

Almost surely, 255009560 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 55009560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90720000).

55009560 is an abundant number, since it is smaller than the sum of its proper divisors (126430440).

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

55009560 is a wasteful number, since it uses less digits than its factorization.

55009560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1105 (or 1101 counting only the distinct ones).

The product of its (nonzero) digits is 6750, while the sum is 30.

The square root of 55009560 is about 7416.8429941586. The cubic root of 55009560 is about 380.3172788757.

The spelling of 55009560 in words is "fifty-five million, nine thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 23 24 30 38 40 46 57 60 69 76 92 95 114 115 120 138 152 184 190 228 230 276 285 345 380 437 456 460 552 570 690 760 874 920 1049 1140 1311 1380 1748 2098 2185 2280 2622 2760 3147 3496 4196 4370 5244 5245 6294 6555 8392 8740 10488 10490 12588 13110 15735 17480 19931 20980 24127 25176 26220 31470 39862 41960 48254 52440 59793 62940 72381 79724 96508 99655 119586 120635 125880 144762 159448 193016 199310 239172 241270 289524 298965 361905 398620 458413 478344 482540 579048 597930 723810 797240 916826 965080 1195860 1375239 1447620 1833652 2292065 2391720 2750478 2895240 3667304 4584130 5500956 6876195 9168260 11001912 13752390 18336520 27504780 55009560