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455240040 = 233513727691
BaseRepresentation
bin11011001000100…
…110100101101000
31011201121120221020
4123020212211220
51413020140130
6113101212440
714165322303
oct3310464550
91151546836
10455240040
11213a75642
12108561120
1373412b08
1444663b3a
1529e75e10
hex1b226968

455240040 has 64 divisors (see below), whose sum is σ = 1375738560. Its totient is φ = 120506880.

The previous prime is 455240039. The next prime is 455240041. The reversal of 455240040 is 40042554.

It is an interprime number because it is at equal distance from previous prime (455240039) and next prime (455240041).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (455240041) 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 15 ways as a sum of consecutive naturals, for example, 2595 + ... + 30285.

It is an arithmetic number, because the mean of its divisors is an integer number (21495915).

Almost surely, 2455240040 is an apocalyptic number.

455240040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 455240040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687869280).

455240040 is an abundant number, since it is smaller than the sum of its proper divisors (920498520).

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

455240040 is a wasteful number, since it uses less digits than its factorization.

455240040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27842 (or 27838 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 24.

The square root of 455240040 is about 21336.3548901868. The cubic root of 455240040 is about 769.2723997674.

Adding to 455240040 its reverse (40042554), we get a palindrome (495282594).

The spelling of 455240040 in words is "four hundred fifty-five million, two hundred forty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 137 274 411 548 685 822 1096 1370 1644 2055 2740 3288 4110 5480 8220 16440 27691 55382 83073 110764 138455 166146 221528 276910 332292 415365 553820 664584 830730 1107640 1661460 3322920 3793667 7587334 11381001 15174668 18968335 22762002 30349336 37936670 45524004 56905005 75873340 91048008 113810010 151746680 227620020 455240040