Search a number
-
+
508051440 = 243451337163
BaseRepresentation
bin11110010010000…
…011111111110000
31022101222200120000
4132102003333300
52020030121230
6122225150000
715406236351
oct3622037760
91271880500
10508051440
11240866626
1212218b300
1381343a70
144b68dd28
152e908b60
hex1e483ff0

508051440 has 400 divisors, whose sum is σ = 1963603488. Its totient is φ = 120932352.

The previous prime is 508051421. The next prime is 508051447. The reversal of 508051440 is 44150805.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (508051447) 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, 3116799 + ... + 3116961.

Almost surely, 2508051440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 508051440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (981801744).

508051440 is an abundant number, since it is smaller than the sum of its proper divisors (1455552048).

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

508051440 is a wasteful number, since it uses less digits than its factorization.

508051440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 508051440 is about 22539.9964507539. The cubic root of 508051440 is about 797.9381488610.

The spelling of 508051440 in words is "five hundred eight million, fifty-one thousand, four hundred forty".