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41056384 = 27378669
BaseRepresentation
bin1001110010011…
…1100010000000
32212020212202211
42130213202000
541002301014
64023551504
71005654625
oct234474200
985225684
1041056384
11211a22a6
12118bb594
138676625
14564a34c
15390ecc4
hex2727880

41056384 has 32 divisors (see below), whose sum is σ = 84012300. Its totient is φ = 19971072.

The previous prime is 41056381. The next prime is 41056387. The reversal of 41056384 is 48365014.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (41056381) and next prime (41056387).

It can be written as a sum of positive squares in 2 ways, for example, as 39438400 + 1617984 = 6280^2 + 1272^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (41056381) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 402 + ... + 9070.

Almost surely, 241056384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41056384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42006150).

41056384 is an abundant number, since it is smaller than the sum of its proper divisors (42955916).

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

41056384 is an equidigital number, since it uses as much as digits as its factorization.

41056384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8720 (or 8708 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 41056384 is about 6407.5255754464. The cubic root of 41056384 is about 344.9797201550.

The spelling of 41056384 in words is "forty-one million, fifty-six thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 296 592 1184 2368 4736 8669 17338 34676 69352 138704 277408 320753 554816 641506 1109632 1283012 2566024 5132048 10264096 20528192 41056384