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35000042 = 27111729461
BaseRepresentation
bin1000010110000…
…0111011101010
32102212012000212
42011200323222
532430000132
63250101122
7603331640
oct205407352
972765025
1035000042
1118836060
12b87a7a2
137335aac
144911190
1531155b2
hex2160eea

35000042 has 64 divisors (see below), whose sum is σ = 71850240. Its totient is φ = 12364800.

The previous prime is 35000041. The next prime is 35000083. The reversal of 35000042 is 24000053.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 34999990 and 35000026.

It is not an unprimeable number, because it can be changed into a prime (35000041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75692 + ... + 76152.

It is an arithmetic number, because the mean of its divisors is an integer number (1122660).

Almost surely, 235000042 is an apocalyptic number.

35000042 is an abundant number, since it is smaller than the sum of its proper divisors (36850198).

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

35000042 is a wasteful number, since it uses less digits than its factorization.

35000042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527.

The product of its (nonzero) digits is 120, while the sum is 14.

The square root of 35000042 is about 5916.0833327464. The cubic root of 35000042 is about 327.1067618615.

Adding to 35000042 its reverse (24000053), we get a palindrome (59000095).

The spelling of 35000042 in words is "thirty-five million, forty-two", and thus it is an aban number and an uban number.

Divisors: 1 2 7 11 14 17 22 29 34 58 77 119 154 187 203 238 319 374 406 461 493 638 922 986 1309 2233 2618 3227 3451 4466 5071 5423 6454 6902 7837 10142 10846 13369 15674 26738 35497 37961 54859 70994 75922 86207 93583 109718 147059 172414 187166 227273 294118 454546 603449 1029413 1206898 1590911 2058826 2500003 3181822 5000006 17500021 35000042