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41245904 = 2471133259
BaseRepresentation
bin1001110101010…
…1110011010000
32212121111202002
42131111303100
541024332104
64032013132
71010404310
oct235256320
985544662
1041245904
1121311727
12119911a8
13871197b
145699440
15394b01e
hex2755cd0

41245904 has 40 divisors (see below), whose sum is σ = 92166720. Its totient is φ = 17515008.

The previous prime is 41245891. The next prime is 41245909. The reversal of 41245904 is 40954214.

41245904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×412459043 (a number of 24 digits) contains 333 as substring.

It is a pancake number, because a pancake can be divided into 41245904 parts by 9082 straight cuts.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41245909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11027 + ... + 14285.

It is an arithmetic number, because the mean of its divisors is an integer number (2304168).

Almost surely, 241245904 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 41245904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46083360).

41245904 is an abundant number, since it is smaller than the sum of its proper divisors (50920816).

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

41245904 is a wasteful number, since it uses less digits than its factorization.

41245904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3387 (or 3381 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 41245904 is about 6422.2974082489. The cubic root of 41245904 is about 345.5097247206.

The spelling of 41245904 in words is "forty-one million, two hundred forty-five thousand, nine hundred four".

Divisors: 1 2 4 7 8 14 16 28 56 112 113 226 452 791 904 1582 1808 3164 3259 6328 6518 12656 13036 22813 26072 45626 52144 91252 182504 365008 368267 736534 1473068 2577869 2946136 5155738 5892272 10311476 20622952 41245904