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41111440 = 24517193743
BaseRepresentation
bin1001110011010…
…0111110010000
32212100200021221
42130310332100
541011031230
64025054424
71006304266
oct234647620
985320257
1041111440
112122a6a7
1211927414
1386956c6
145662436
15392127a
hex2734f90

41111440 has 160 divisors (see below), whose sum is σ = 111957120. Its totient is φ = 13934592.

The previous prime is 41111407. The next prime is 41111449. The reversal of 41111440 is 4411114.

41111440 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 (16).

It is not an unprimeable number, because it can be changed into a prime (41111449) 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 31 ways as a sum of consecutive naturals, for example, 956059 + ... + 956101.

It is an arithmetic number, because the mean of its divisors is an integer number (699732).

Almost surely, 241111440 is an apocalyptic number.

41111440 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 41111440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55978560).

41111440 is an abundant number, since it is smaller than the sum of its proper divisors (70845680).

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

41111440 is a wasteful number, since it uses less digits than its factorization.

41111440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 41111440 is about 6411.8203343512. The cubic root of 41111440 is about 345.1338555015.

Adding to 41111440 its reverse (4411114), we get a palindrome (45522554).

The spelling of 41111440 in words is "forty-one million, one hundred eleven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 17 19 20 34 37 38 40 43 68 74 76 80 85 86 95 136 148 152 170 172 185 190 215 272 296 304 323 340 344 370 380 430 592 629 646 680 688 703 731 740 760 817 860 1258 1292 1360 1406 1462 1480 1520 1591 1615 1634 1720 2516 2584 2812 2924 2960 3145 3182 3230 3268 3440 3515 3655 4085 5032 5168 5624 5848 6290 6364 6460 6536 7030 7310 7955 8170 10064 11248 11696 11951 12580 12728 12920 13072 13889 14060 14620 15910 16340 23902 25160 25456 25840 27047 27778 28120 29240 30229 31820 32680 47804 50320 54094 55556 56240 58480 59755 60458 63640 65360 69445 95608 108188 111112 119510 120916 127280 135235 138890 151145 191216 216376 222224 239020 241832 270470 277780 302290 432752 478040 483664 513893 540940 555560 604580 956080 1027786 1081880 1111120 1209160 2055572 2163760 2418320 2569465 4111144 5138930 8222288 10277860 20555720 41111440