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4532550240 = 25359442813
BaseRepresentation
bin1000011100010100…
…10011101001100000
3102200212210102001010
410032022103221200
533240313101430
62025432140520
7220215020121
oct41612235140
912625712033
104532550240
111a16563099
12a65b37740
135730624ba
1430dd80048
151b7dbccb0
hex10e293a60

4532550240 has 48 divisors (see below), whose sum is σ = 14277534768. Its totient is φ = 1208679936.

The previous prime is 4532550203. The next prime is 4532550271. The reversal of 4532550240 is 420552354.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4532550198 and 4532550207.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 4720927 + ... + 4721886.

It is an arithmetic number, because the mean of its divisors is an integer number (297448641).

Almost surely, 24532550240 is an apocalyptic number.

4532550240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4532550240 is an abundant number, since it is smaller than the sum of its proper divisors (9744984528).

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

4532550240 is a wasteful number, since it uses less digits than its factorization.

4532550240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9442831 (or 9442823 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 30.

The square root of 4532550240 is about 67324.2173367058. The cubic root of 4532550240 is about 1654.9347509743.

The spelling of 4532550240 in words is "four billion, five hundred thirty-two million, five hundred fifty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 9442813 18885626 28328439 37771252 47214065 56656878 75542504 94428130 113313756 141642195 151085008 188856260 226627512 283284390 302170016 377712520 453255024 566568780 755425040 906510048 1133137560 1510850080 2266275120 4532550240