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41783040 = 283451331
BaseRepresentation
bin1001111101100…
…0111100000000
32220121210120000
42133120330000
541144024130
64051320000
71015102305
oct237307400
986553500
1041783040
1121649242
1211bb0000
13886c2c0
1457990ac
153a05260
hex27d8f00

41783040 has 360 divisors, whose sum is σ = 166201728. Its totient is φ = 9953280.

The previous prime is 41783029. The next prime is 41783081. The reversal of 41783040 is 4038714.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 41782995 and 41783013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1347825 + ... + 1347855.

Almost surely, 241783040 is an apocalyptic number.

41783040 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 41783040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83100864).

41783040 is an abundant number, since it is smaller than the sum of its proper divisors (124418688).

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

41783040 is a wasteful number, since it uses less digits than its factorization.

41783040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 41783040 is about 6463.9801979895. The cubic root of 41783040 is about 347.0030922108.

The spelling of 41783040 in words is "forty-one million, seven hundred eighty-three thousand, forty".