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496465560 = 233251379071
BaseRepresentation
bin11101100101110…
…111011010011000
31021121012001201100
4131211313122120
52004043344220
6121132551400
715205613313
oct3545673230
91247161640
10496465560
11235272a18
1211a322560
137bb18406
1449d1597a
152d8bad90
hex1d977698

496465560 has 48 divisors (see below), whose sum is σ = 1613514240. Its totient is φ = 132390720.

The previous prime is 496465553. The next prime is 496465577. The reversal of 496465560 is 65564694.

496465560 is a `hidden beast` number, since 4 + 96 + 4 + 6 + 556 + 0 = 666.

It is a super-2 number, since 2×4964655602 = 492956104532227200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 689176 + ... + 689895.

It is an arithmetic number, because the mean of its divisors is an integer number (33614880).

Almost surely, 2496465560 is an apocalyptic number.

496465560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

496465560 is an abundant number, since it is smaller than the sum of its proper divisors (1117048680).

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

496465560 is a wasteful number, since it uses less digits than its factorization.

496465560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1379088 (or 1379081 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The square root of 496465560 is about 22281.5071303536. The cubic root of 496465560 is about 791.8259106190.

It can be divided in two parts, 496465 and 560, that added together give a square (497025 = 7052).

The spelling of 496465560 in words is "four hundred ninety-six million, four hundred sixty-five thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 1379071 2758142 4137213 5516284 6895355 8274426 11032568 12411639 13790710 16548852 20686065 24823278 27581420 33097704 41372130 49646556 55162840 62058195 82744260 99293112 124116390 165488520 248232780 496465560