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42115185 = 3257235813
BaseRepresentation
bin1010000010101…
…0000001110001
32221020200011200
42200222001301
541240141220
64102401413
71020654540
oct240520161
987220150
1042115185
1121855842
1212130269
138957538
145844157
153a6d890
hex282a071

42115185 has 48 divisors (see below), whose sum is σ = 87070464. Its totient is φ = 18412416.

The previous prime is 42115147. The next prime is 42115187. The reversal of 42115185 is 58151124.

It is not a de Polignac number, because 42115185 - 26 = 42115121 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (42115187) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4339 + ... + 10151.

It is an arithmetic number, because the mean of its divisors is an integer number (1813968).

Almost surely, 242115185 is an apocalyptic number.

42115185 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42115185 is an abundant number, since it is smaller than the sum of its proper divisors (44955279).

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

42115185 is a wasteful number, since it uses less digits than its factorization.

42115185 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5854 (or 5851 counting only the distinct ones).

The product of its digits is 1600, while the sum is 27.

The square root of 42115185 is about 6489.6213294768. The cubic root of 42115185 is about 347.9201412078.

The spelling of 42115185 in words is "forty-two million, one hundred fifteen thousand, one hundred eighty-five".

Divisors: 1 3 5 7 9 15 21 23 35 45 63 69 105 115 161 207 315 345 483 805 1035 1449 2415 5813 7245 17439 29065 40691 52317 87195 122073 133699 203455 261585 366219 401097 610365 668495 935893 1203291 1831095 2005485 2807679 4679465 6016455 8423037 14038395 42115185