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42154827 = 3112138933
BaseRepresentation
bin1010000011001…
…1101101001011
32221022200112220
42200303231023
541242423302
64103305123
71021211241
oct240635513
987280486
1042154827
1121882600
121214b1a3
13896c5b0
145854791
153a7a4bc
hex2833b4b

42154827 has 24 divisors (see below), whose sum is σ = 66540432. Its totient is φ = 23580480.

The previous prime is 42154813. The next prime is 42154841. The reversal of 42154827 is 72845124.

42154827 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42154813) and next prime (42154841).

It is not a de Polignac number, because 42154827 - 214 = 42138443 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

Its product of digits (17920) is a multiple of the sum of its prime divisors (8960).

It is not an unprimeable number, because it can be changed into a prime (42154807) 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, 253 + ... + 9185.

It is an arithmetic number, because the mean of its divisors is an integer number (2772518).

Almost surely, 242154827 is an apocalyptic number.

42154827 is a deficient number, since it is larger than the sum of its proper divisors (24385605).

42154827 is a wasteful number, since it uses less digits than its factorization.

42154827 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8971 (or 8960 counting only the distinct ones).

The product of its digits is 17920, while the sum is 33.

The square root of 42154827 is about 6492.6748725005. The cubic root of 42154827 is about 348.0292698990.

The spelling of 42154827 in words is "forty-two million, one hundred fifty-four thousand, eight hundred twenty-seven".

Divisors: 1 3 11 13 33 39 121 143 363 429 1573 4719 8933 26799 98263 116129 294789 348387 1080893 1277419 3242679 3832257 14051609 42154827