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41359680 = 263354787
BaseRepresentation
bin1001110111000…
…1100101000000
32212211021211000
42131301211000
541042002210
64034252000
71011360105
oct235614500
985737730
1041359680
112138a15a
1211a27000
1387516ab
1456c8aac
15396eac0
hex2771940

41359680 has 112 divisors (see below), whose sum is σ = 145938240. Its totient is φ = 11026944.

The previous prime is 41359631. The next prime is 41359687. The reversal of 41359680 is 8695314.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41359687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6247 + ... + 11033.

It is an arithmetic number, because the mean of its divisors is an integer number (1303020).

Almost surely, 241359680 is an apocalyptic number.

41359680 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 41359680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72969120).

41359680 is an abundant number, since it is smaller than the sum of its proper divisors (104578560).

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

41359680 is a wasteful number, since it uses less digits than its factorization.

41359680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4813 (or 4797 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 41359680 is about 6431.1491974607. The cubic root of 41359680 is about 345.8271269350.

The spelling of 41359680 in words is "forty-one million, three hundred fifty-nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 135 144 160 180 192 216 240 270 288 320 360 432 480 540 576 720 864 960 1080 1440 1728 2160 2880 4320 4787 8640 9574 14361 19148 23935 28722 38296 43083 47870 57444 71805 76592 86166 95740 114888 129249 143610 153184 172332 191480 215415 229776 258498 287220 306368 344664 382960 430830 459552 516996 574440 646245 689328 765920 861660 919104 1033992 1148880 1292490 1378656 1531840 1723320 2067984 2297760 2584980 2757312 3446640 4135968 4595520 5169960 6893280 8271936 10339920 13786560 20679840 41359680