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41072192 = 26731871
BaseRepresentation
bin1001110010101…
…1011001000000
32212021200110022
42130223121000
541003302232
64024153012
71006052000
oct234533100
985250408
1041072192
1121203167
1211908768
138680895
145652000
153914812
hex272b640

41072192 has 56 divisors (see below), whose sum is σ = 95097600. Its totient is φ = 17592960.

The previous prime is 41072159. The next prime is 41072197. The reversal of 41072192 is 29127014.

It is a tau number, because it is divible by the number of its divisors (56).

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (41072197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21017 + ... + 22887.

Almost surely, 241072192 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 41072192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47548800).

41072192 is an abundant number, since it is smaller than the sum of its proper divisors (54025408).

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

41072192 is an equidigital number, since it uses as much as digits as its factorization.

41072192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1904 (or 1880 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 26.

The square root of 41072192 is about 6408.7590062351. The cubic root of 41072192 is about 345.0239904902.

The spelling of 41072192 in words is "forty-one million, seventy-two thousand, one hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 343 392 448 686 784 1372 1568 1871 2744 3136 3742 5488 7484 10976 13097 14968 21952 26194 29936 52388 59872 91679 104776 119744 183358 209552 366716 419104 641753 733432 838208 1283506 1466864 2567012 2933728 5134024 5867456 10268048 20536096 41072192