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41490400 = 2552731239
BaseRepresentation
bin1001111001000…
…1011111100000
32220001221010111
42132101133200
541110143100
64041141104
71012443160
oct236213740
986057114
1041490400
1121469396
1211a8a794
138799043
1457205a0
1539986ba
hex27917e0

41490400 has 144 divisors (see below), whose sum is σ = 119992320. Its totient is φ = 13708800.

The previous prime is 41490389. The next prime is 41490403. The reversal of 41490400 is 409414.

It is a happy number.

41490400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41490403) 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, 173481 + ... + 173719.

It is an arithmetic number, because the mean of its divisors is an integer number (833280).

Almost surely, 241490400 is an apocalyptic number.

41490400 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 41490400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59996160).

41490400 is an abundant number, since it is smaller than the sum of its proper divisors (78501920).

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

41490400 is a wasteful number, since it uses less digits than its factorization.

41490400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 41490400 is about 6441.3042157625. The cubic root of 41490400 is about 346.1910802619.

Adding to 41490400 its reverse (409414), we get a palindrome (41899814).

The spelling of 41490400 in words is "forty-one million, four hundred ninety thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 31 32 35 40 50 56 62 70 80 100 112 124 140 155 160 175 200 217 224 239 248 280 310 350 400 434 478 496 560 620 700 775 800 868 956 992 1085 1120 1195 1240 1400 1550 1673 1736 1912 2170 2390 2480 2800 3100 3346 3472 3824 4340 4780 4960 5425 5600 5975 6200 6692 6944 7409 7648 8365 8680 9560 10850 11950 12400 13384 14818 16730 17360 19120 21700 23900 24800 26768 29636 33460 34720 37045 38240 41825 43400 47800 51863 53536 59272 66920 74090 83650 86800 95600 103726 118544 133840 148180 167300 173600 185225 191200 207452 237088 259315 267680 296360 334600 370450 414904 518630 592720 669200 740900 829808 1037260 1185440 1296575 1338400 1481800 1659616 2074520 2593150 2963600 4149040 5186300 5927200 8298080 10372600 20745200 41490400