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4495248040 = 235106012
BaseRepresentation
bin1000010111111000…
…00000101010101000
3102121021121021001011
410023330000222220
533201240414130
62022020433304
7216252656263
oct41374005250
912537537034
104495248040
1119a74a5428
12a55548834
135684018aa
1430902dcda
151b49a052a
hex10bf00aa8

4495248040 has 24 divisors (see below), whose sum is σ = 10115262270. Its totient is φ = 1797929600.

The previous prime is 4495248029. The next prime is 4495248061. The reversal of 4495248040 is 408425944.

It can be written as a sum of positive squares in 3 ways, for example, as 4473736996 + 21511044 = 66886^2 + 4638^2 .

It is a super-2 number, since 2×44952480402 = 40414509882247683200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 4495247984 and 4495248002.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 418740 + ... + 429340.

Almost surely, 24495248040 is an apocalyptic number.

4495248040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4495248040 is an abundant number, since it is smaller than the sum of its proper divisors (5620014230).

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

4495248040 is an frugal number, since it uses more digits than its factorization.

4495248040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21213 (or 10608 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 40.

The square root of 4495248040 is about 67046.6109508900. The cubic root of 4495248040 is about 1650.3822854656.

Multiplying 4495248040 by its sum of digits (40), we get a square (179809921600 = 4240402).

4495248040 divided by its sum of digits (40) gives a square (112381201 = 106012).

The spelling of 4495248040 in words is "four billion, four hundred ninety-five million, two hundred forty-eight thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 10601 21202 42404 53005 84808 106010 212020 424040 112381201 224762402 449524804 561906005 899049608 1123812010 2247624020 4495248040