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42115941 = 32741949
BaseRepresentation
bin1010000010101…
…0001101100101
32221020201012200
42200222031211
541240202231
64102405113
71020660000
oct240521545
987221180
1042115941
112185636a
1212130799
13895799a
145844537
153a6dbe6
hex282a365

42115941 has 30 divisors (see below), whose sum is σ = 71005350. Its totient is φ = 24053904.

The previous prime is 42115939. The next prime is 42115961. The reversal of 42115941 is 14951124.

It can be written as a sum of positive squares in only one way, i.e., 39955041 + 2160900 = 6321^2 + 1470^2 .

It is not a de Polignac number, because 42115941 - 21 = 42115939 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42115961) by changing a digit.

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 29 ways as a sum of consecutive naturals, for example, 20635 + ... + 22583.

It is an arithmetic number, because the mean of its divisors is an integer number (2366845).

Almost surely, 242115941 is an apocalyptic number.

It is an amenable number.

42115941 is a deficient number, since it is larger than the sum of its proper divisors (28889409).

42115941 is an equidigital number, since it uses as much as digits as its factorization.

42115941 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1983 (or 1959 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 42115941 is about 6489.6795760654. The cubic root of 42115941 is about 347.9222230068.

The spelling of 42115941 in words is "forty-two million, one hundred fifteen thousand, nine hundred forty-one".

Divisors: 1 3 7 9 21 49 63 147 343 441 1029 1949 2401 3087 5847 7203 13643 17541 21609 40929 95501 122787 286503 668507 859509 2005521 4679549 6016563 14038647 42115941