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454248040 = 23511356201
BaseRepresentation
bin11011000100110…
…100011001101000
31011122202012011111
4123010310121220
51412241414130
6113024040104
714154021211
oct3304643150
91148665144
10454248040
11213458304
12108163034
137315642c
1444486408
1529d2c02a
hex1b134668

454248040 has 16 divisors (see below), whose sum is σ = 1022058180. Its totient is φ = 181699200.

The previous prime is 454248037. The next prime is 454248043. The reversal of 454248040 is 40842454.

It is an interprime number because it is at equal distance from previous prime (454248037) and next prime (454248043).

It can be written as a sum of positive squares in 2 ways, for example, as 453434436 + 813604 = 21294^2 + 902^2 .

It is a junction number, because it is equal to n+sod(n) for n = 454247993 and 454248011.

It is not an unprimeable number, because it can be changed into a prime (454248043) 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 3 ways as a sum of consecutive naturals, for example, 5678061 + ... + 5678140.

Almost surely, 2454248040 is an apocalyptic number.

454248040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

454248040 is an abundant number, since it is smaller than the sum of its proper divisors (567810140).

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

454248040 is a wasteful number, since it uses less digits than its factorization.

454248040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11356212 (or 11356208 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 31.

The square root of 454248040 is about 21313.0955048768. The cubic root of 454248040 is about 768.7132272273.

The spelling of 454248040 in words is "four hundred fifty-four million, two hundred forty-eight thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 11356201 22712402 45424804 56781005 90849608 113562010 227124020 454248040