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41089440 = 2535721747
BaseRepresentation
bin1001110010111…
…1100110100000
32212022120010010
42130233212200
541004330230
64024404520
71006153200
oct234574640
985276103
1041089440
1121215117
1211916740
1386886a2
145658400
1539199b0
hex272f9a0

41089440 has 144 divisors (see below), whose sum is σ = 150649632. Its totient is φ = 9386496.

The previous prime is 41089439. The next prime is 41089501. The reversal of 41089440 is 4498014.

41089440 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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 41089398 and 41089407.

It is an unprimeable number.

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, 22647 + ... + 24393.

It is an arithmetic number, because the mean of its divisors is an integer number (1046178).

Almost surely, 241089440 is an apocalyptic number.

41089440 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 41089440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75324816).

41089440 is an abundant number, since it is smaller than the sum of its proper divisors (109560192).

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

41089440 is a wasteful number, since it uses less digits than its factorization.

41089440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1779 (or 1764 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 41089440 is about 6410.1045233288. The cubic root of 41089440 is about 345.0722805917.

The spelling of 41089440 in words is "forty-one million, eighty-nine thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 49 56 60 70 80 84 96 98 105 112 120 140 147 160 168 196 210 224 240 245 280 294 336 392 420 480 490 560 588 672 735 784 840 980 1120 1176 1470 1568 1680 1747 1960 2352 2940 3360 3494 3920 4704 5241 5880 6988 7840 8735 10482 11760 12229 13976 17470 20964 23520 24458 26205 27952 34940 36687 41928 48916 52410 55904 61145 69880 73374 83856 85603 97832 104820 122290 139760 146748 167712 171206 183435 195664 209640 244580 256809 279520 293496 342412 366870 391328 419280 428015 489160 513618 586992 684824 733740 838560 856030 978320 1027236 1173984 1284045 1369648 1467480 1712060 1956640 2054472 2568090 2739296 2934960 3424120 4108944 5136180 5869920 6848240 8217888 10272360 13696480 20544720 41089440