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41593040 = 24543107113
BaseRepresentation
bin1001111010101…
…0100011010000
32220021010220222
42132222203100
541121434130
64043252212
71013351336
oct236524320
986233828
1041593040
1121529515
1211b1a068
138803988
145749b56
1539b8ce5
hex27aa8d0

41593040 has 80 divisors (see below), whose sum is σ = 100761408. Its totient is φ = 15955968.

The previous prime is 41593037. The next prime is 41593051. The reversal of 41593040 is 4039514.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 368024 + ... + 368136.

Almost surely, 241593040 is an apocalyptic number.

41593040 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 41593040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50380704).

41593040 is an abundant number, since it is smaller than the sum of its proper divisors (59168368).

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

41593040 is a wasteful number, since it uses less digits than its factorization.

With its successor (41593041) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (270).

41593040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 41593040 is about 6449.2666249737. The cubic root of 41593040 is about 346.4763172632.

The spelling of 41593040 in words is "forty-one million, five hundred ninety-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 43 80 86 107 113 172 214 215 226 344 428 430 452 535 565 688 856 860 904 1070 1130 1712 1720 1808 2140 2260 3440 4280 4520 4601 4859 8560 9040 9202 9718 12091 18404 19436 23005 24182 24295 36808 38872 46010 48364 48590 60455 73616 77744 92020 96728 97180 120910 184040 193456 194360 241820 368080 388720 483640 519913 967280 1039826 2079652 2599565 4159304 5199130 8318608 10398260 20796520 41593040