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41085440 = 295111459
BaseRepresentation
bin1001110010111…
…0101000000000
32212022100121222
42130232220000
541004213230
64024334212
71006135424
oct234565000
985270558
1041085440
1121212110
1211914368
138686916
145656b84
1539186e5
hex272ea00

41085440 has 80 divisors (see below), whose sum is σ = 107537760. Its totient is φ = 14929920.

The previous prime is 41085427. The next prime is 41085449. The reversal of 41085440 is 4458014.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (41085449) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27431 + ... + 28889.

It is an arithmetic number, because the mean of its divisors is an integer number (1344222).

Almost surely, 241085440 is an apocalyptic number.

41085440 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 41085440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53768880).

41085440 is an abundant number, since it is smaller than the sum of its proper divisors (66452320).

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

41085440 is a wasteful number, since it uses less digits than its factorization.

41085440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1493 (or 1477 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 26.

The square root of 41085440 is about 6409.7925083422. The cubic root of 41085440 is about 345.0610827923.

The spelling of 41085440 in words is "forty-one million, eighty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 512 640 704 880 1280 1408 1459 1760 2560 2816 2918 3520 5632 5836 7040 7295 11672 14080 14590 16049 23344 28160 29180 32098 46688 58360 64196 80245 93376 116720 128392 160490 186752 233440 256784 320980 373504 466880 513568 641960 747008 933760 1027136 1283920 1867520 2054272 2567840 3735040 4108544 5135680 8217088 10271360 20542720 41085440