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54685950 = 235211223131
BaseRepresentation
bin1101000010011…
…1000011111110
310210220100000120
43100213003332
5102444422300
65232035410
71232552154
oct320470376
9123810016
1054685950
1128961400
1216392b66
13b439267
1473973d4
154c033a0
hex34270fe

54685950 has 144 divisors (see below), whose sum is σ = 156739968. Its totient is φ = 12584000.

The previous prime is 54685949. The next prime is 54686017. The reversal of 54685950 is 5958645.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 417385 + ... + 417515.

It is an arithmetic number, because the mean of its divisors is an integer number (1088472).

Almost surely, 254685950 is an apocalyptic number.

54685950 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 54685950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78369984).

54685950 is an abundant number, since it is smaller than the sum of its proper divisors (102054018).

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

54685950 is a wasteful number, since it uses less digits than its factorization.

54685950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 42.

The square root of 54685950 is about 7394.9949290043. The cubic root of 54685950 is about 379.5700353836.

The spelling of 54685950 in words is "fifty-four million, six hundred eighty-five thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 23 25 30 33 46 50 55 66 69 75 110 115 121 131 138 150 165 230 242 253 262 275 330 345 363 393 506 550 575 605 655 690 726 759 786 825 1150 1210 1265 1310 1441 1518 1650 1725 1815 1965 2530 2783 2882 3013 3025 3275 3450 3630 3795 3930 4323 5566 6026 6050 6325 6550 7205 7590 8349 8646 9039 9075 9825 12650 13915 14410 15065 15851 16698 18078 18150 18975 19650 21615 27830 30130 31702 33143 36025 37950 41745 43230 45195 47553 66286 69575 72050 75325 79255 83490 90390 95106 99429 108075 139150 150650 158510 165715 198858 208725 216150 225975 237765 331430 364573 396275 417450 451950 475530 497145 729146 792550 828575 994290 1093719 1188825 1657150 1822865 2187438 2377650 2485725 3645730 4971450 5468595 9114325 10937190 18228650 27342975 54685950