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41552002400 = 2552232258261
BaseRepresentation
bin100110101100101100…
…010011110101100000
310222020211102102112212
4212230230103311200
51140044303034100
631031055341252
73000461123066
oct465454236540
9128224372485
1041552002400
1116693027457
128077821828
133bc278148c
14202276a036
151132da4635
hex9acb13d60

41552002400 has 72 divisors (see below), whose sum is σ = 105849256464. Its totient is φ = 15898150400.

The previous prime is 41552002337. The next prime is 41552002421. The reversal of 41552002400 is 420025514.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1110731 + ... + 1147530.

It is an arithmetic number, because the mean of its divisors is an integer number (1470128562).

Almost surely, 241552002400 is an apocalyptic number.

41552002400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41552002400 is an abundant number, since it is smaller than the sum of its proper divisors (64297254064).

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

41552002400 is a wasteful number, since it uses less digits than its factorization.

41552002400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2258304 (or 2258291 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 23.

Adding to 41552002400 its reverse (420025514), we get a palindrome (41972027914).

The spelling of 41552002400 in words is "forty-one billion, five hundred fifty-two million, two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 23 25 32 40 46 50 80 92 100 115 160 184 200 230 368 400 460 575 736 800 920 1150 1840 2300 3680 4600 9200 18400 2258261 4516522 9033044 11291305 18066088 22582610 36132176 45165220 51940003 56456525 72264352 90330440 103880006 112913050 180660880 207760012 225826100 259700015 361321760 415520024 451652200 519400030 831040048 903304400 1038800060 1298500075 1662080096 1806608800 2077600120 2597000150 4155200240 5194000300 8310400480 10388000600 20776001200 41552002400