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496828240 = 2456210353
BaseRepresentation
bin11101100111001…
…111111101010000
31021121212111012221
4131213033331100
52004142000430
6121144430424
715211653556
oct3547177520
91247774187
10496828240
112354a0457
1211a478414
137bc1450c
1449dabbd6
152d93d57a
hex1d9cff50

496828240 has 20 divisors (see below), whose sum is σ = 1155125844. Its totient is φ = 198731264.

The previous prime is 496828229. The next prime is 496828243. The reversal of 496828240 is 42828694.

It can be written as a sum of positive squares in 2 ways, for example, as 394737424 + 102090816 = 19868^2 + 10104^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×4968282402 = 493676600122995200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (496828243) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3105097 + ... + 3105256.

Almost surely, 2496828240 is an apocalyptic number.

496828240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

496828240 is an abundant number, since it is smaller than the sum of its proper divisors (658297604).

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

496828240 is a wasteful number, since it uses less digits than its factorization.

496828240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6210366 (or 6210360 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 43.

The square root of 496828240 is about 22289.6442322438. The cubic root of 496828240 is about 792.0186796261.

The spelling of 496828240 in words is "four hundred ninety-six million, eight hundred twenty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 6210353 12420706 24841412 31051765 49682824 62103530 99365648 124207060 248414120 496828240