Search a number
-
+
496401719 = 11411995531
BaseRepresentation
bin11101100101100…
…111110100110111
31021121001211010212
4131211213310313
52004034323334
6121131340035
715205226222
oct3545476467
91247054125
10496401719
11235229a60
1211a2b161b
137bac5338
1449cda5b9
152d8a6ece
hex1d967d37

496401719 has 16 divisors (see below), whose sum is σ = 557625600. Its totient is φ = 437976000.

The previous prime is 496401691. The next prime is 496401739. The reversal of 496401719 is 917104694.

It is not a de Polignac number, because 496401719 - 212 = 496397623 is a prime.

It is a super-3 number, since 3×4964017193 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (496401739) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86984 + ... + 92514.

It is an arithmetic number, because the mean of its divisors is an integer number (34851600).

Almost surely, 2496401719 is an apocalyptic number.

496401719 is a deficient number, since it is larger than the sum of its proper divisors (61223881).

496401719 is a wasteful number, since it uses less digits than its factorization.

496401719 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5782.

The product of its (nonzero) digits is 54432, while the sum is 41.

The square root of 496401719 is about 22280.0744837175. The cubic root of 496401719 is about 791.7919686037.

The spelling of 496401719 in words is "four hundred ninety-six million, four hundred one thousand, seven hundred nineteen".

Divisors: 1 11 41 199 451 2189 5531 8159 60841 89749 226771 1100669 2494481 12107359 45127429 496401719