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41288928 = 253430093
BaseRepresentation
bin1001110110000…
…0010011100000
32212200200202120
42131200103200
541032221203
64032544240
71010643612
oct235402340
985620676
1041288928
1121340a8a
12119b2080
138728425
1456aadb2
153958b53
hex27604e0

41288928 has 24 divisors (see below), whose sum is σ = 108383688. Its totient is φ = 13762944.

The previous prime is 41288917. The next prime is 41288939. The reversal of 41288928 is 82988214.

It is an interprime number because it is at equal distance from previous prime (41288917) and next prime (41288939).

It is a tau number, because it is divible by the number of its divisors (24).

It is a self number, because there is not a number n which added to its sum of digits gives 41288928.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 214951 + ... + 215142.

It is an arithmetic number, because the mean of its divisors is an integer number (4515987).

Almost surely, 241288928 is an apocalyptic number.

41288928 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

41288928 is an abundant number, since it is smaller than the sum of its proper divisors (67094760).

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

41288928 is a wasteful number, since it uses less digits than its factorization.

41288928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430106 (or 430098 counting only the distinct ones).

The product of its digits is 73728, while the sum is 42.

The square root of 41288928 is about 6425.6461153724. The cubic root of 41288928 is about 345.6298178148.

The spelling of 41288928 in words is "forty-one million, two hundred eighty-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 430093 860186 1290279 1720372 2580558 3440744 5161116 6881488 10322232 13762976 20644464 41288928