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40839400 = 2352731941
BaseRepresentation
bin1001101111001…
…0100011101000
32211211212010101
42123302203220
540423330100
64015155144
71004062210
oct233624350
984755111
1040839400
1121064278
1211815ab4
1385cb934
1455d1240
1538ba86a
hex26f28e8

40839400 has 96 divisors (see below), whose sum is σ = 112135680. Its totient is φ = 13536000.

The previous prime is 40839371. The next prime is 40839401. The reversal of 40839400 is 493804.

40839400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (40839401) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 42930 + ... + 43870.

It is an arithmetic number, because the mean of its divisors is an integer number (1168080).

Almost surely, 240839400 is an apocalyptic number.

40839400 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 40839400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56067840).

40839400 is an abundant number, since it is smaller than the sum of its proper divisors (71296280).

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

40839400 is a wasteful number, since it uses less digits than its factorization.

40839400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 995 (or 986 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 40839400 is about 6390.5711794800. The cubic root of 40839400 is about 344.3709042522.

The spelling of 40839400 in words is "forty million, eight hundred thirty-nine thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 31 35 40 50 56 62 70 100 124 140 155 175 200 217 248 280 310 350 434 620 700 775 868 941 1085 1240 1400 1550 1736 1882 2170 3100 3764 4340 4705 5425 6200 6587 7528 8680 9410 10850 13174 18820 21700 23525 26348 29171 32935 37640 43400 47050 52696 58342 65870 94100 116684 131740 145855 164675 188200 204197 233368 263480 291710 329350 408394 583420 658700 729275 816788 1020985 1166840 1317400 1458550 1633576 2041970 2917100 4083940 5104925 5834200 8167880 10209850 20419700 40839400