Search a number
-
+
428595150 = 235231611511
BaseRepresentation
bin11001100010111…
…101011111001110
31002212110220000110
4121202331133032
51334210021100
6110310140450
713422666354
oct3142753716
91085426013
10428595150
111aaa26975
12bb651726
136aa43cc9
1440cc97d4
1527961250
hex198bd7ce

428595150 has 96 divisors (see below), whose sum is σ = 1115928576. Its totient is φ = 108720000.

The previous prime is 428595137. The next prime is 428595157. The reversal of 428595150 is 51595824.

It is a junction number, because it is equal to n+sod(n) for n = 428595099 and 428595108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428595157) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 282895 + ... + 284405.

It is an arithmetic number, because the mean of its divisors is an integer number (11624256).

Almost surely, 2428595150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428595150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557964288).

428595150 is an abundant number, since it is smaller than the sum of its proper divisors (687333426).

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

428595150 is a wasteful number, since it uses less digits than its factorization.

428595150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1618 (or 1613 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 39.

The square root of 428595150 is about 20702.5396992736. The cubic root of 428595150 is about 753.9613512028.

The spelling of 428595150 in words is "four hundred twenty-eight million, five hundred ninety-five thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 31 50 61 62 75 93 122 150 155 183 186 305 310 366 465 610 775 915 930 1511 1525 1550 1830 1891 2325 3022 3050 3782 4533 4575 4650 5673 7555 9066 9150 9455 11346 15110 18910 22665 28365 37775 45330 46841 47275 56730 75550 92171 93682 94550 113325 140523 141825 184342 226650 234205 276513 281046 283650 460855 468410 553026 702615 921710 1171025 1382565 1405230 2304275 2342050 2765130 2857301 3513075 4608550 5714602 6912825 7026150 8571903 13825650 14286505 17143806 28573010 42859515 71432525 85719030 142865050 214297575 428595150