Search a number
-
+
26148500 = 2253731241
BaseRepresentation
bin110001110111…
…1111010010100
31211012110222222
41203233322110
523143223000
62332241512
7435154460
oct143577224
954173888
1026148500
111383a834
128910298
135556bb1
1436894a0
152467a85
hex18efe94

26148500 has 96 divisors (see below), whose sum is σ = 67651584. Its totient is φ = 8640000.

The previous prime is 26148439. The next prime is 26148509. The reversal of 26148500 is 584162.

It is a self number, because there is not a number n which added to its sum of digits gives 26148500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26148509) 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, 108380 + ... + 108620.

It is an arithmetic number, because the mean of its divisors is an integer number (704704).

Almost surely, 226148500 is an apocalyptic number.

26148500 is a gapful number since it is divisible by the number (20) 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 26148500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33825792).

26148500 is an abundant number, since it is smaller than the sum of its proper divisors (41503084).

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

26148500 is a wasteful number, since it uses less digits than its factorization.

26148500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 26148500 is about 5113.5604034762. The cubic root of 26148500 is about 296.8125501143.

The spelling of 26148500 in words is "twenty-six million, one hundred forty-eight thousand, five hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 31 35 50 62 70 100 124 125 140 155 175 217 241 250 310 350 434 482 500 620 700 775 868 875 964 1085 1205 1550 1687 1750 2170 2410 3100 3374 3500 3875 4340 4820 5425 6025 6748 7471 7750 8435 10850 12050 14942 15500 16870 21700 24100 27125 29884 30125 33740 37355 42175 52297 54250 60250 74710 84350 104594 108500 120500 149420 168700 186775 209188 210875 261485 373550 421750 522970 747100 843500 933875 1045940 1307425 1867750 2614850 3735500 5229700 6537125 13074250 26148500