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41159040 = 2735131797
BaseRepresentation
bin1001110100000…
…0100110000000
32212110002120220
42131000212000
541014042130
64030103040
71006563126
oct235004600
985402526
1041159040
112126243a
121194aa80
1386b1280
145675916
153930410
hex2740980

41159040 has 256 divisors, whose sum is σ = 151139520. Its totient is φ = 9437184.

The previous prime is 41159011. The next prime is 41159051. The reversal of 41159040 is 4095114.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 41159040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 424272 + ... + 424368.

Almost surely, 241159040 is an apocalyptic number.

41159040 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 41159040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75569760).

41159040 is an abundant number, since it is smaller than the sum of its proper divisors (109980480).

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

41159040 is a wasteful number, since it uses less digits than its factorization.

41159040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 41159040 is about 6415.5311549396. The cubic root of 41159040 is about 345.2670060729.

The spelling of 41159040 in words is "forty-one million, one hundred fifty-nine thousand, forty".