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55149000 = 2335331593
BaseRepresentation
bin1101001001100…
…0000111001000
310211202212012120
43102120013020
5103104232000
65250011240
71236521154
oct322300710
9124685176
1055149000
1129148295
1216576b20
13b56bc5a
147478064
154c956a0
hex34981c8

55149000 has 128 divisors (see below), whose sum is σ = 177914880. Its totient is φ = 14208000.

The previous prime is 55148993. The next prime is 55149007. The reversal of 55149000 is 94155.

It is an interprime number because it is at equal distance from previous prime (55148993) and next prime (55149007).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (55149007) 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, 92704 + ... + 93296.

It is an arithmetic number, because the mean of its divisors is an integer number (1389960).

Almost surely, 255149000 is an apocalyptic number.

55149000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55149000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88957440).

55149000 is an abundant number, since it is smaller than the sum of its proper divisors (122765880).

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

55149000 is a wasteful number, since it uses less digits than its factorization.

55149000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 55149000 is about 7426.2372706506. The cubic root of 55149000 is about 380.6383545564.

The spelling of 55149000 in words is "fifty-five million, one hundred forty-nine thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 31 40 50 60 62 75 93 100 120 124 125 150 155 186 200 248 250 300 310 372 375 465 500 593 600 620 744 750 775 930 1000 1186 1240 1500 1550 1779 1860 2325 2372 2965 3000 3100 3558 3720 3875 4650 4744 5930 6200 7116 7750 8895 9300 11625 11860 14232 14825 15500 17790 18383 18600 23250 23720 29650 31000 35580 36766 44475 46500 55149 59300 71160 73532 74125 88950 91915 93000 110298 118600 147064 148250 177900 183830 220596 222375 275745 296500 355800 367660 441192 444750 459575 551490 593000 735320 889500 919150 1102980 1378725 1779000 1838300 2205960 2297875 2757450 3676600 4595750 5514900 6893625 9191500 11029800 13787250 18383000 27574500 55149000