Search a number
-
+
250378128 = 243471113193
BaseRepresentation
bin11101110110001…
…11011110010000
3122110010112020000
432323013132100
51003044100003
640502250000
76130115250
oct1673073620
9573115200
10250378128
11119371880
126ba26900
133cb45850
1425377960
1516eab1a3
hexeec7790

250378128 has 400 divisors, whose sum is σ = 978020736. Its totient is φ = 59719680.

The previous prime is 250378127. The next prime is 250378147. The reversal of 250378128 is 821873052.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 250378092 and 250378101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (250378127) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1297200 + ... + 1297392.

Almost surely, 2250378128 is an apocalyptic number.

250378128 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 250378128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489010368).

250378128 is an abundant number, since it is smaller than the sum of its proper divisors (727642608).

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

250378128 is a wasteful number, since it uses less digits than its factorization.

250378128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 250378128 is about 15823.3412400795. The cubic root of 250378128 is about 630.2779725712.

The spelling of 250378128 in words is "two hundred fifty million, three hundred seventy-eight thousand, one hundred twenty-eight".