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41028736 = 277291579
BaseRepresentation
bin1001110010000…
…0110010000000
32212012110211211
42130200302000
541000404421
64023215504
71005511210
oct234406200
985173754
1041028736
1121183551
12118a7594
138666b78
145640240
1539069e1
hex2720c80

41028736 has 64 divisors (see below), whose sum is σ = 96696000. Its totient is φ = 16966656.

The previous prime is 41028709. The next prime is 41028773. The reversal of 41028736 is 63782014.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 41028698 and 41028707.

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, 25195 + ... + 26773.

It is an arithmetic number, because the mean of its divisors is an integer number (1510875).

Almost surely, 241028736 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 41028736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48348000).

41028736 is an abundant number, since it is smaller than the sum of its proper divisors (55667264).

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

41028736 is a wasteful number, since it uses less digits than its factorization.

41028736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1629 (or 1617 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 41028736 is about 6405.3677490055. The cubic root of 41028736 is about 344.9022645506.

The spelling of 41028736 in words is "forty-one million, twenty-eight thousand, seven hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 112 116 128 203 224 232 406 448 464 812 896 928 1579 1624 1856 3158 3248 3712 6316 6496 11053 12632 12992 22106 25264 25984 44212 45791 50528 88424 91582 101056 176848 183164 202112 320537 353696 366328 641074 707392 732656 1282148 1414784 1465312 2564296 2930624 5128592 5861248 10257184 20514368 41028736