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41985360 = 2432558313
BaseRepresentation
bin1010000000101…
…0010101010000
32221000002002100
42200022111100
541222012420
64055520400
71016604204
oct240122520
987002070
1041985360
112177724a
1212089100
138910411
14580cb04
153a45190
hex280a550

41985360 has 60 divisors (see below), whose sum is σ = 141003252. Its totient is φ = 11195904.

The previous prime is 41985347. The next prime is 41985371. The reversal of 41985360 is 6358914.

It can be written as a sum of positive squares in 2 ways, for example, as 22695696 + 19289664 = 4764^2 + 4392^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28437 + ... + 29876.

Almost surely, 241985360 is an apocalyptic number.

41985360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41985360 is an abundant number, since it is smaller than the sum of its proper divisors (99017892).

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

41985360 is a wasteful number, since it uses less digits than its factorization.

41985360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58332 (or 58323 counting only the distinct ones).

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

The square root of 41985360 is about 6479.6110994411. The cubic root of 41985360 is about 347.5622716759.

The spelling of 41985360 in words is "forty-one million, nine hundred eighty-five thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 58313 116626 174939 233252 291565 349878 466504 524817 583130 699756 874695 933008 1049634 1166260 1399512 1749390 2099268 2332520 2624085 2799024 3498780 4198536 4665040 5248170 6997560 8397072 10496340 13995120 20992680 41985360