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41540000 = 25543167
BaseRepresentation
bin1001111001110…
…1100110100000
32220011110011112
42132131212200
541113240000
64042202452
71013040605
oct236354640
986143145
1041540000
11214a2687
1211ab3428
1387b57a8
1457346ac
1539a8235
hex279d9a0

41540000 has 120 divisors (see below), whose sum is σ = 107065728. Its totient is φ = 15840000.

The previous prime is 41539957. The next prime is 41540033. The reversal of 41540000 is 4514.

41540000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 619967 + ... + 620033.

Almost surely, 241540000 is an apocalyptic number.

41540000 is a gapful number since it is divisible by the number (40) 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 41540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53532864).

41540000 is an abundant number, since it is smaller than the sum of its proper divisors (65525728).

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

41540000 is an equidigital number, since it uses as much as digits as its factorization.

41540000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 41540000 is about 6445.1532177288. The cubic root of 41540000 is about 346.3289775401.

Adding to 41540000 its reverse (4514), we get a palindrome (41544514).

The spelling of 41540000 in words is "forty-one million, five hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 31 32 40 50 62 67 80 100 124 125 134 155 160 200 248 250 268 310 335 400 496 500 536 620 625 670 775 800 992 1000 1072 1240 1250 1340 1550 1675 2000 2077 2144 2480 2500 2680 3100 3350 3875 4000 4154 4960 5000 5360 6200 6700 7750 8308 8375 10000 10385 10720 12400 13400 15500 16616 16750 19375 20000 20770 24800 26800 31000 33232 33500 38750 41540 41875 51925 53600 62000 66464 67000 77500 83080 83750 103850 124000 134000 155000 166160 167500 207700 259625 268000 310000 332320 335000 415400 519250 620000 670000 830800 1038500 1298125 1340000 1661600 2077000 2596250 4154000 5192500 8308000 10385000 20770000 41540000