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42352050 = 23521337587
BaseRepresentation
bin1010000110001…
…1110110110010
32221200201002110
42201203312302
541320231200
64111430150
71022662236
oct241436662
987621073
1042352050
11219a77a4
1212225356
138a0b2b0
1458a65c6
153ab8b50
hex2863db2

42352050 has 96 divisors (see below), whose sum is σ = 116367552. Its totient is φ = 10126080.

The previous prime is 42352031. The next prime is 42352067. The reversal of 42352050 is 5025324.

42352050 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×423520502 = 3587392278405000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71857 + ... + 72443.

It is an arithmetic number, because the mean of its divisors is an integer number (1212162).

Almost surely, 242352050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42352050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58183776).

42352050 is an abundant number, since it is smaller than the sum of its proper divisors (74015502).

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

42352050 is a wasteful number, since it uses less digits than its factorization.

42352050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 42352050 is about 6507.8452655238. The cubic root of 42352050 is about 348.5711818218.

Adding to 42352050 its reverse (5025324), we get a palindrome (47377374).

The spelling of 42352050 in words is "forty-two million, three hundred fifty-two thousand, fifty".

Divisors: 1 2 3 5 6 10 13 15 25 26 30 37 39 50 65 74 75 78 111 130 150 185 195 222 325 370 390 481 555 587 650 925 962 975 1110 1174 1443 1761 1850 1950 2405 2775 2886 2935 3522 4810 5550 5870 7215 7631 8805 12025 14430 14675 15262 17610 21719 22893 24050 29350 36075 38155 43438 44025 45786 65157 72150 76310 88050 108595 114465 130314 190775 217190 228930 282347 325785 381550 542975 564694 572325 651570 847041 1085950 1144650 1411735 1628925 1694082 2823470 3257850 4235205 7058675 8470410 14117350 21176025 42352050