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41388000 = 253533449
BaseRepresentation
bin1001110111100…
…0011111100000
32212212201122220
42131320133200
541043404000
64035031040
71011535503
oct235703740
985781586
1041388000
11213a9465
1211a3b480
138761554
1456d513a
1539781a0
hex27787e0

41388000 has 96 divisors (see below), whose sum is σ = 135626400. Its totient is φ = 11033600.

The previous prime is 41387999. The next prime is 41388019. The reversal of 41388000 is 88314.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10276 + ... + 13724.

It is an arithmetic number, because the mean of its divisors is an integer number (1412775).

Almost surely, 241388000 is an apocalyptic number.

41388000 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 41388000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67813200).

41388000 is an abundant number, since it is smaller than the sum of its proper divisors (94238400).

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

41388000 is a wasteful number, since it uses less digits than its factorization.

41388000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3477 (or 3459 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 41388000 is about 6433.3506044673. The cubic root of 41388000 is about 345.9060410668.

The spelling of 41388000 in words is "forty-one million, three hundred eighty-eight thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 750 800 1000 1200 1500 2000 2400 3000 3449 4000 6000 6898 10347 12000 13796 17245 20694 27592 34490 41388 51735 55184 68980 82776 86225 103470 110368 137960 165552 172450 206940 258675 275920 331104 344900 413880 431125 517350 551840 689800 827760 862250 1034700 1293375 1379600 1655520 1724500 2069400 2586750 2759200 3449000 4138800 5173500 6898000 8277600 10347000 13796000 20694000 41388000