[go: up one dir, main page]

Search a number
-
+
496314480 = 24352067977
BaseRepresentation
bin11101100101010…
…010100001110000
31021120220101110210
4131211102201300
52004024030410
6121125424120
715204413664
oct3545224160
91246811423
10496314480
1123517a462
1211a26b040
137ba9470c
1449cb68a4
152d88b220
hex1d952870

496314480 has 40 divisors (see below), whose sum is σ = 1538575632. Its totient is φ = 132350464.

The previous prime is 496314479. The next prime is 496314487. The reversal of 496314480 is 84413694.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (496314487) 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 7 ways as a sum of consecutive naturals, for example, 1033749 + ... + 1034228.

Almost surely, 2496314480 is an apocalyptic number.

496314480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

496314480 is an abundant number, since it is smaller than the sum of its proper divisors (1042261152).

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

496314480 is a wasteful number, since it uses less digits than its factorization.

496314480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2067993 (or 2067987 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 496314480 is about 22278.1166169854. The cubic root of 496314480 is about 791.7455819886.

The spelling of 496314480 in words is "four hundred ninety-six million, three hundred fourteen thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 2067977 4135954 6203931 8271908 10339885 12407862 16543816 20679770 24815724 31019655 33087632 41359540 49631448 62039310 82719080 99262896 124078620 165438160 248157240 496314480