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41920432 = 2431223379
BaseRepresentation
bin1001111111101…
…0011110110000
32220212210000121
42133322132300
541212423212
64054300024
71016214001
oct237723660
986783017
1041920432
1121732494
1212057614
1388b99b8
1457d31a8
153a30d07
hex27fa7b0

41920432 has 40 divisors (see below), whose sum is σ = 84439040. Its totient is φ = 20139840.

The previous prime is 41920429. The next prime is 41920433. The reversal of 41920432 is 23402914.

It is a junction number, because it is equal to n+sod(n) for n = 41920397 and 41920406.

It is not an unprimeable number, because it can be changed into a prime (41920433) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 110419 + ... + 110797.

It is an arithmetic number, because the mean of its divisors is an integer number (2110976).

Almost surely, 241920432 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 41920432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42219520).

41920432 is an abundant number, since it is smaller than the sum of its proper divisors (42518608).

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

41920432 is a wasteful number, since it uses less digits than its factorization.

41920432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 41920432 is about 6474.5989837209. The cubic root of 41920432 is about 347.3830174009.

The spelling of 41920432 in words is "forty-one million, nine hundred twenty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 31 62 124 223 248 379 446 496 758 892 1516 1784 3032 3568 6064 6913 11749 13826 23498 27652 46996 55304 84517 93992 110608 169034 187984 338068 676136 1352272 2620027 5240054 10480108 20960216 41920432