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41642952 = 23313210267
BaseRepresentation
bin1001111011011…
…0101111001000
32220100200101120
42132312233020
541130033302
64044315240
71013650011
oct236665710
986320346
1041642952
1121562a6a
1211b42b20
138820600
145760008
1539c89bc
hex27b6bc8

41642952 has 48 divisors (see below), whose sum is σ = 112742640. Its totient is φ = 12811968.

The previous prime is 41642941. The next prime is 41642959. The reversal of 41642952 is 25924614.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (41642959) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1078 + ... + 9189.

It is an arithmetic number, because the mean of its divisors is an integer number (2348805).

Almost surely, 241642952 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 41642952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56371320).

41642952 is an abundant number, since it is smaller than the sum of its proper divisors (71099688).

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

41642952 is a wasteful number, since it uses less digits than its factorization.

41642952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10302 (or 10285 counting only the distinct ones).

The product of its digits is 17280, while the sum is 33.

The square root of 41642952 is about 6453.1350520503. The cubic root of 41642952 is about 346.6148533674.

The spelling of 41642952 in words is "forty-one million, six hundred forty-two thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 169 312 338 507 676 1014 1352 2028 4056 10267 20534 30801 41068 61602 82136 123204 133471 246408 266942 400413 533884 800826 1067768 1601652 1735123 3203304 3470246 5205369 6940492 10410738 13880984 20821476 41642952