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42575346 = 23211239349
BaseRepresentation
bin1010001001101…
…0010111110010
32222010001101200
42202122113302
541344402341
64120312030
71024612242
oct242322762
988101350
1042575346
112203a540
1212312616
138a88b18
145923b22
153b0edb6
hex289a5f2

42575346 has 48 divisors (see below), whose sum is σ = 105019200. Its totient is φ = 12339360.

The previous prime is 42575341. The next prime is 42575381. The reversal of 42575346 is 64357524.

42575346 is a `hidden beast` number, since 42 + 575 + 3 + 46 = 666.

42575346 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 42575346.

It is not an unprimeable number, because it can be changed into a prime (42575341) 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 23 ways as a sum of consecutive naturals, for example, 121 + ... + 9228.

It is an arithmetic number, because the mean of its divisors is an integer number (2187900).

Almost surely, 242575346 is an apocalyptic number.

42575346 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 42575346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52509600).

42575346 is an abundant number, since it is smaller than the sum of its proper divisors (62443854).

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

42575346 is a wasteful number, since it uses less digits than its factorization.

42575346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9391 (or 9388 counting only the distinct ones).

The product of its digits is 100800, while the sum is 36.

The square root of 42575346 is about 6524.9786206546. The cubic root of 42575346 is about 349.1827079765.

The spelling of 42575346 in words is "forty-two million, five hundred seventy-five thousand, three hundred forty-six".

Divisors: 1 2 3 6 9 11 18 22 23 33 46 66 69 99 138 198 207 253 414 506 759 1518 2277 4554 9349 18698 28047 56094 84141 102839 168282 205678 215027 308517 430054 617034 645081 925551 1290162 1851102 1935243 2365297 3870486 4730594 7095891 14191782 21287673 42575346