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55655880 = 23357591123
BaseRepresentation
bin1101010001001…
…1110111001000
310212201121111220
43110103313020
5103221442010
65304522040
71244032020
oct324236710
9125647456
1055655880
11294640a5
1216780320
13b6b8897
14756aa80
154d45970
hex3513dc8

55655880 has 128 divisors (see below), whose sum is σ = 194227200. Its totient is φ = 12494592.

The previous prime is 55655867. The next prime is 55655891. The reversal of 55655880 is 8855655.

55655880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48999 + ... + 50121.

It is an arithmetic number, because the mean of its divisors is an integer number (1517400).

Almost surely, 255655880 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 55655880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97113600).

55655880 is an abundant number, since it is smaller than the sum of its proper divisors (138571320).

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

55655880 is a wasteful number, since it uses less digits than its factorization.

55655880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1203 (or 1199 counting only the distinct ones).

The product of its (nonzero) digits is 240000, while the sum is 42.

The square root of 55655880 is about 7460.2868577555. The cubic root of 55655880 is about 381.8009617053.

The spelling of 55655880 in words is "fifty-five million, six hundred fifty-five thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 59 60 70 84 105 118 120 140 168 177 210 236 280 295 354 413 420 472 590 708 826 840 885 1123 1180 1239 1416 1652 1770 2065 2246 2360 2478 3304 3369 3540 4130 4492 4956 5615 6195 6738 7080 7861 8260 8984 9912 11230 12390 13476 15722 16520 16845 22460 23583 24780 26952 31444 33690 39305 44920 47166 49560 62888 66257 67380 78610 94332 117915 132514 134760 157220 188664 198771 235830 265028 314440 331285 397542 463799 471660 530056 662570 795084 927598 943320 993855 1325140 1391397 1590168 1855196 1987710 2318995 2650280 2782794 3710392 3975420 4637990 5565588 6956985 7950840 9275980 11131176 13913970 18551960 27827940 55655880