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42103971 = 32713101509
BaseRepresentation
bin1010000010011…
…1010010100011
32221020002210100
42200213102203
541234311341
64102233443
71020610050
oct240472243
987202710
1042103971
1121848378
1212125883
1389523c0
145840027
153a6a3b6
hex28274a3

42103971 has 48 divisors (see below), whose sum is σ = 75741120. Its totient is φ = 21945600.

The previous prime is 42103949. The next prime is 42103979. The reversal of 42103971 is 17930124.

It is not a de Polignac number, because 42103971 - 26 = 42103907 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42103979) 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 47 ways as a sum of consecutive naturals, for example, 82465 + ... + 82973.

It is an arithmetic number, because the mean of its divisors is an integer number (1577940).

Almost surely, 242103971 is an apocalyptic number.

42103971 is a deficient number, since it is larger than the sum of its proper divisors (33637149).

42103971 is a wasteful number, since it uses less digits than its factorization.

42103971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 42103971 is about 6488.7572770138. The cubic root of 42103971 is about 347.8892582629.

The spelling of 42103971 in words is "forty-two million, one hundred three thousand, nine hundred seventy-one".

Divisors: 1 3 7 9 13 21 39 63 91 101 117 273 303 509 707 819 909 1313 1527 2121 3563 3939 4581 6363 6617 9191 10689 11817 19851 27573 32067 46319 51409 59553 82719 138957 154227 359863 416871 462681 668317 1079589 2004951 3238767 4678219 6014853 14034657 42103971