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42035202 = 23211474517
BaseRepresentation
bin1010000001011…
…0100000000010
32221002121110100
42200112200002
541230111302
64100543230
71020202416
oct240264002
987077410
1042035202
1121800740
12120b1b16
13892a001
145822d46
153a54d1c
hex2816802

42035202 has 48 divisors (see below), whose sum is σ = 101492352. Its totient is φ = 12464160.

The previous prime is 42035173. The next prime is 42035243. The reversal of 42035202 is 20253024.

It is a super-3 number, since 3×420352023 (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7048 + ... + 11564.

It is an arithmetic number, because the mean of its divisors is an integer number (2114424).

Almost surely, 242035202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42035202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50746176).

42035202 is an abundant number, since it is smaller than the sum of its proper divisors (59457150).

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

42035202 is a wasteful number, since it uses less digits than its factorization.

42035202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4583 (or 4580 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 42035202 is about 6483.4560228323. The cubic root of 42035202 is about 347.6997509330.

Adding to 42035202 its reverse (20253024), we get a palindrome (62288226).

The spelling of 42035202 in words is "forty-two million, thirty-five thousand, two hundred two".

Divisors: 1 2 3 6 9 11 18 22 33 47 66 94 99 141 198 282 423 517 846 1034 1551 3102 4517 4653 9034 9306 13551 27102 40653 49687 81306 99374 149061 212299 298122 424598 447183 636897 894366 1273794 1910691 2335289 3821382 4670578 7005867 14011734 21017601 42035202