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41828310400 = 275213071347
BaseRepresentation
bin100110111101001010…
…010101110110000000
310222222002100022212111
4212331022111312000
51141131021413100
631114325505104
73010354525552
oct467512256600
9128862308774
1041828310400
1116814a99778
128134272194
133c37aa5536
14204b3334d2
15114c2836ba
hex9bd295d80

41828310400 has 48 divisors (see below), whose sum is σ = 103329005940. Its totient is φ = 16731322880.

The previous prime is 41828310379. The next prime is 41828310479. The reversal of 41828310400 is 401382814.

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 5 ways as a sum of consecutive naturals, for example, 6532474 + ... + 6538873.

Almost surely, 241828310400 is an apocalyptic number.

41828310400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41828310400 is an abundant number, since it is smaller than the sum of its proper divisors (61500695540).

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

41828310400 is a wasteful number, since it uses less digits than its factorization.

41828310400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13071371 (or 13071354 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The spelling of 41828310400 in words is "forty-one billion, eight hundred twenty-eight million, three hundred ten thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 320 400 640 800 1600 3200 13071347 26142694 52285388 65356735 104570776 130713470 209141552 261426940 326783675 418283104 522853880 653567350 836566208 1045707760 1307134700 1673132416 2091415520 2614269400 4182831040 5228538800 8365662080 10457077600 20914155200 41828310400