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42052605 = 35719107197
BaseRepresentation
bin1010000001101…
…0101111111101
32221010111022220
42200122233331
541231140410
64101155553
71020304230
oct240325775
987114286
1042052605
1121812821
12120bbbb9
138934bca
145829417
153a5a070
hex281abfd

42052605 has 64 divisors (see below), whose sum is σ = 82114560. Its totient is φ = 17950464.

The previous prime is 42052597. The next prime is 42052613. The reversal of 42052605 is 50625024.

It is an interprime number because it is at equal distance from previous prime (42052597) and next prime (42052613).

It is not a de Polignac number, because 42052605 - 23 = 42052597 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 213367 + ... + 213563.

It is an arithmetic number, because the mean of its divisors is an integer number (1283040).

Almost surely, 242052605 is an apocalyptic number.

It is an amenable number.

42052605 is a deficient number, since it is larger than the sum of its proper divisors (40061955).

42052605 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (42052604) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (338).

42052605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338.

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 42052605 is about 6484.7979922277. The cubic root of 42052605 is about 347.7477280539.

Adding to 42052605 its reverse (50625024), we get a palindrome (92677629).

The spelling of 42052605 in words is "forty-two million, fifty-two thousand, six hundred five".

Divisors: 1 3 5 7 15 19 21 35 57 95 105 107 133 197 285 321 399 535 591 665 749 985 1379 1605 1995 2033 2247 2955 3743 3745 4137 6099 6895 10165 11229 11235 14231 18715 20685 21079 26201 30495 42693 56145 63237 71155 78603 105395 131005 147553 213465 316185 393015 400501 442659 737765 1201503 2002505 2213295 2803507 6007515 8410521 14017535 42052605