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41411640 = 23351941443
BaseRepresentation
bin1001110111111…
…0010000111000
32212220221002110
42131332100320
541100133030
64035332320
71011664434
oct235762070
985827073
1041411640
11214151a6
1211a510a0
13876c23a
1456dd9c4
1539801b0
hex277e438

41411640 has 128 divisors (see below), whose sum is σ = 134265600. Its totient is φ = 10183680.

The previous prime is 41411639. The next prime is 41411641. The reversal of 41411640 is 4611414.

It is an interprime number because it is at equal distance from previous prime (41411639) and next prime (41411641).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41411641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93259 + ... + 93701.

It is an arithmetic number, because the mean of its divisors is an integer number (1048950).

Almost surely, 241411640 is an apocalyptic number.

41411640 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 41411640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67132800).

41411640 is an abundant number, since it is smaller than the sum of its proper divisors (92853960).

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

41411640 is a wasteful number, since it uses less digits than its factorization.

41411640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 41411640 is about 6435.1876429518. The cubic root of 41411640 is about 345.9718867420.

It can be divided in two parts, 414 and 11640, that multiplied together give a triangular number (4818960 = T3104).

The spelling of 41411640 in words is "forty-one million, four hundred eleven thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 41 57 60 76 82 95 114 120 123 152 164 190 205 228 246 285 328 380 410 443 456 492 570 615 760 779 820 886 984 1140 1230 1329 1558 1640 1772 2215 2280 2337 2460 2658 3116 3544 3895 4430 4674 4920 5316 6232 6645 7790 8417 8860 9348 10632 11685 13290 15580 16834 17720 18163 18696 23370 25251 26580 31160 33668 36326 42085 46740 50502 53160 54489 67336 72652 84170 90815 93480 101004 108978 126255 145304 168340 181630 202008 217956 252510 272445 336680 345097 363260 435912 505020 544890 690194 726520 1010040 1035291 1089780 1380388 1725485 2070582 2179560 2760776 3450970 4141164 5176455 6901940 8282328 10352910 13803880 20705820 41411640