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41438304 = 2535732
BaseRepresentation
bin1001111000010…
…0110001100000
32212222021200000
42132010301200
541102011204
64040100000
71012135245
oct236046140
985867600
1041438304
1121433236
1211a64600
13877b40b
1457095cc
153988039
hex2784c60

41438304 has 108 divisors (see below), whose sum is σ = 123901596. Its totient is φ = 13623552.

The previous prime is 41438279. The next prime is 41438323. The reversal of 41438304 is 40383414.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 567612 + ... + 567684.

It is an arithmetic number, because the mean of its divisors is an integer number (1147237).

Almost surely, 241438304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41438304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61950798).

41438304 is an abundant number, since it is smaller than the sum of its proper divisors (82463292).

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

41438304 is an frugal number, since it uses more digits than its factorization.

41438304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 41438304 is about 6437.2590440342. The cubic root of 41438304 is about 346.0461252506.

The spelling of 41438304 in words is "forty-one million, four hundred thirty-eight thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 73 81 96 108 144 146 162 216 219 243 288 292 324 432 438 486 584 648 657 864 876 972 1168 1296 1314 1752 1944 1971 2336 2592 2628 3504 3888 3942 5256 5329 5913 7008 7776 7884 10512 10658 11826 15768 15987 17739 21024 21316 23652 31536 31974 35478 42632 47304 47961 63072 63948 70956 85264 94608 95922 127896 141912 143883 170528 189216 191844 255792 283824 287766 383688 431649 511584 567648 575532 767376 863298 1151064 1294947 1534752 1726596 2302128 2589894 3453192 4604256 5179788 6906384 10359576 13812768 20719152 41438304