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4542412240 = 245173340009
BaseRepresentation
bin1000011101011111…
…11011010111010000
3102201120100110011101
410032233323113100
533300324142430
62030423354144
7220364603242
oct41657732720
912646313141
104542412240
111a21089603
12a692b2954
135751062c2
143113ca092
151b8bb9dca
hex10ebfb5d0

4542412240 has 40 divisors (see below), whose sum is σ = 11182353480. Its totient is φ = 1710084096.

The previous prime is 4542412229. The next prime is 4542412247. The reversal of 4542412240 is 422142454.

It can be written as a sum of positive squares in 4 ways, for example, as 1163082816 + 3379329424 = 34104^2 + 58132^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 4542412199 and 4542412208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4542412247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1668645 + ... + 1671364.

It is an arithmetic number, because the mean of its divisors is an integer number (279558837).

Almost surely, 24542412240 is an apocalyptic number.

4542412240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4542412240 is an abundant number, since it is smaller than the sum of its proper divisors (6639941240).

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

4542412240 is a wasteful number, since it uses less digits than its factorization.

4542412240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3340039 (or 3340033 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 28.

The square root of 4542412240 is about 67397.4201286666. The cubic root of 4542412240 is about 1656.1341599010.

Adding to 4542412240 its reverse (422142454), we get a palindrome (4964554694).

The spelling of 4542412240 in words is "four billion, five hundred forty-two million, four hundred twelve thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 3340009 6680018 13360036 16700045 26720072 33400090 53440144 56780153 66800180 113560306 133600360 227120612 267200720 283900765 454241224 567801530 908482448 1135603060 2271206120 4542412240