Search a number
-
+
35442750 = 2353743157
BaseRepresentation
bin1000011100110…
…1000000111110
32110200200022110
42013031000332
533033132000
63303354450
7610154430
oct207150076
973620273
1035442750
1119008732
12ba52a26
13745c455
1449c8650
1531a1850
hex21cd03e

35442750 has 128 divisors (see below), whose sum is σ = 104113152. Its totient is φ = 7862400.

The previous prime is 35442731. The next prime is 35442761. The reversal of 35442750 is 5724453.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 225672 + ... + 225828.

It is an arithmetic number, because the mean of its divisors is an integer number (813384).

Almost surely, 235442750 is an apocalyptic number.

35442750 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 35442750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52056576).

35442750 is an abundant number, since it is smaller than the sum of its proper divisors (68670402).

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

35442750 is a wasteful number, since it uses less digits than its factorization.

35442750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 30.

The square root of 35442750 is about 5953.3813921166. The cubic root of 35442750 is about 328.4801551319.

The spelling of 35442750 in words is "thirty-five million, four hundred forty-two thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 43 50 70 75 86 105 125 129 150 157 175 210 215 250 258 301 314 350 375 430 471 525 602 645 750 785 875 903 942 1050 1075 1099 1290 1505 1570 1750 1806 2150 2198 2355 2625 3010 3225 3297 3925 4515 4710 5250 5375 5495 6450 6594 6751 7525 7850 9030 10750 10990 11775 13502 15050 16125 16485 19625 20253 22575 23550 27475 32250 32970 33755 37625 39250 40506 45150 47257 54950 58875 67510 75250 82425 94514 101265 112875 117750 137375 141771 164850 168775 202530 225750 236285 274750 283542 337550 412125 472570 506325 708855 824250 843875 1012650 1181425 1417710 1687750 2362850 2531625 3544275 5063250 5907125 7088550 11814250 17721375 35442750