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41056768 = 29175389
BaseRepresentation
bin1001110010011…
…1101000000000
32212020220022001
42130213220000
541002304033
64023553344
71005656014
oct234475000
985226261
1041056768
11211a2615
12118bb854
13867685c
14564a544
15390ee7d
hex2727a00

41056768 has 80 divisors (see below), whose sum is σ = 89492040. Its totient is φ = 18743296.

The previous prime is 41056759. The next prime is 41056781. The reversal of 41056768 is 86765014.

It can be written as a sum of positive squares in 4 ways, for example, as 37552384 + 3504384 = 6128^2 + 1872^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 461268 + ... + 461356.

Almost surely, 241056768 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 41056768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44746020).

41056768 is an abundant number, since it is smaller than the sum of its proper divisors (48435272).

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

41056768 is an equidigital number, since it uses as much as digits as its factorization.

41056768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 41056768 is about 6407.5555401417. Note that the first 4 decimals coincide. The cubic root of 41056768 is about 344.9807956824.

The spelling of 41056768 in words is "forty-one million, fifty-six thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 17 32 34 53 64 68 89 106 128 136 178 212 256 272 356 424 512 544 712 848 901 1088 1424 1513 1696 1802 2176 2848 3026 3392 3604 4352 4717 5696 6052 6784 7208 8704 9434 11392 12104 13568 14416 18868 22784 24208 27136 28832 37736 45568 48416 57664 75472 80189 96832 115328 150944 160378 193664 230656 301888 320756 387328 461312 603776 641512 774656 1207552 1283024 2415104 2566048 5132096 10264192 20528384 41056768