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35420250 = 235383569
BaseRepresentation
bin1000011100011…
…1100001011010
32110122112110010
42013013201122
533031422000
63303102350
7610032015
oct207074132
973575403
1035420250
1118aa2838
12ba419b6
137452138
1449c037c
153199d50
hex21c785a

35420250 has 64 divisors (see below), whose sum is σ = 89631360. Its totient is φ = 9315200.

The previous prime is 35420239. The next prime is 35420251. The reversal of 35420250 is 5202453.

It is a super-3 number, since 3×354202503 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35420251) 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, 61966 + ... + 62534.

It is an arithmetic number, because the mean of its divisors is an integer number (1400490).

Almost surely, 235420250 is an apocalyptic number.

35420250 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 35420250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44815680).

35420250 is an abundant number, since it is smaller than the sum of its proper divisors (54211110).

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

35420250 is a wasteful number, since it uses less digits than its factorization.

35420250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672 (or 662 counting only the distinct ones).

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

The square root of 35420250 is about 5951.4914097224. The cubic root of 35420250 is about 328.4106311061.

The spelling of 35420250 in words is "thirty-five million, four hundred twenty thousand, two hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 83 125 150 166 249 250 375 415 498 569 750 830 1138 1245 1707 2075 2490 2845 3414 4150 5690 6225 8535 10375 12450 14225 17070 20750 28450 31125 42675 47227 62250 71125 85350 94454 141681 142250 213375 236135 283362 426750 472270 708405 1180675 1416810 2361350 3542025 5903375 7084050 11806750 17710125 35420250