Search a number
-
+
495426624 = 263711233147
BaseRepresentation
bin11101100001111…
…001110001000000
31021112020021120020
4131201321301000
52003312122444
6121054413440
715164025330
oct3541716100
91245207506
10495426624
112347233a0
12119b01280
137b843564
1449b250c0
152d763119
hex1d879c40

495426624 has 448 divisors, whose sum is σ = 1797783552. Its totient is φ = 116582400.

The previous prime is 495426623. The next prime is 495426629. The reversal of 495426624 is 426624594.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (495426623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10540969 + ... + 10541015.

Almost surely, 2495426624 is an apocalyptic number.

495426624 is a gapful number since it is divisible by the number (44) 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 495426624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (898891776).

495426624 is an abundant number, since it is smaller than the sum of its proper divisors (1302356928).

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

495426624 is a wasteful number, since it uses less digits than its factorization.

495426624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 124 counting only the distinct ones).

The product of its digits is 414720, while the sum is 42.

The square root of 495426624 is about 22258.1810577594. The cubic root of 495426624 is about 791.2731828122.

The spelling of 495426624 in words is "four hundred ninety-five million, four hundred twenty-six thousand, six hundred twenty-four".