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42660192 = 253894993
BaseRepresentation
bin1010001010111…
…1000101100000
32222021100210010
42202233011200
541410111232
64122204520
71025414511
oct242570540
988240703
1042660192
1122098263
1212353740
138ab8623
145946a08
153b2a0cc
hex28af160

42660192 has 48 divisors (see below), whose sum is σ = 113263920. Its totient is φ = 14057472.

The previous prime is 42660179. The next prime is 42660209. The reversal of 42660192 is 29106624.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

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, 6048 + ... + 11040.

It is an arithmetic number, because the mean of its divisors is an integer number (2359665).

Almost surely, 242660192 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 42660192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56631960).

42660192 is an abundant number, since it is smaller than the sum of its proper divisors (70603728).

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

42660192 is a wasteful number, since it uses less digits than its factorization.

42660192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5095 (or 5087 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 42660192 is about 6531.4770151934. The cubic root of 42660192 is about 349.4145095556.

The spelling of 42660192 in words is "forty-two million, six hundred sixty thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 89 96 178 267 356 534 712 1068 1424 2136 2848 4272 4993 8544 9986 14979 19972 29958 39944 59916 79888 119832 159776 239664 444377 479328 888754 1333131 1777508 2666262 3555016 5332524 7110032 10665048 14220064 21330096 42660192