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41223040 = 275411571
BaseRepresentation
bin1001110101000…
…0001110000000
32212120100101021
42131100032000
541023114130
64031315224
71010250535
oct235201600
985510337
1041223040
11212a6531
121197bb14
138704441
145690d8c
15394437a
hex2750380

41223040 has 64 divisors (see below), whose sum is σ = 101016720. Its totient is φ = 16076800.

The previous prime is 41223031. The next prime is 41223043. The reversal of 41223040 is 4032214.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41223043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25455 + ... + 27025.

Almost surely, 241223040 is an apocalyptic number.

41223040 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 41223040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50508360).

41223040 is an abundant number, since it is smaller than the sum of its proper divisors (59793680).

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

41223040 is a wasteful number, since it uses less digits than its factorization.

41223040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1631 (or 1619 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 41223040 is about 6420.5171131304. The cubic root of 41223040 is about 345.4458703437.

Adding to 41223040 its reverse (4032214), we get a palindrome (45255254).

The spelling of 41223040 in words is "forty-one million, two hundred twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 64 80 82 128 160 164 205 320 328 410 640 656 820 1312 1571 1640 2624 3142 3280 5248 6284 6560 7855 12568 13120 15710 25136 26240 31420 50272 62840 64411 100544 125680 128822 201088 251360 257644 322055 502720 515288 644110 1005440 1030576 1288220 2061152 2576440 4122304 5152880 8244608 10305760 20611520 41223040