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41400200 = 2352317653
BaseRepresentation
bin1001110111101…
…1011110001000
32212220100101202
42131323132020
541044301300
64035203332
71011616202
oct235733610
985810352
1041400200
1121407646
1211a46548
138766c7a
1456d9772
15397bad5
hex277b788

41400200 has 48 divisors (see below), whose sum is σ = 96706980. Its totient is φ = 16482560.

The previous prime is 41400137. The next prime is 41400211. The reversal of 41400200 is 200414.

It can be written as a sum of positive squares in 6 ways, for example, as 2137444 + 39262756 = 1462^2 + 6266^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 63074 + ... + 63726.

Almost surely, 241400200 is an apocalyptic number.

41400200 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 41400200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48353490).

41400200 is an abundant number, since it is smaller than the sum of its proper divisors (55306780).

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

41400200 is a wasteful number, since it uses less digits than its factorization.

41400200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 986 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 41400200 is about 6434.2987185862. The cubic root of 41400200 is about 345.9400254675.

Adding to 41400200 its reverse (200414), we get a palindrome (41600614).

The spelling of 41400200 in words is "forty-one million, four hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 317 634 653 1268 1306 1585 2536 2612 3170 3265 5224 6340 6530 7925 12680 13060 15850 16325 26120 31700 32650 63400 65300 130600 207001 414002 828004 1035005 1656008 2070010 4140020 5175025 8280040 10350050 20700100 41400200