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4672230240 = 25359733813
BaseRepresentation
bin1000101100111110…
…01001001101100000
3110001121121212222110
410112133021031200
534032042331430
62051342035320
7223532205336
oct42637111540
913047555873
104672230240
111a88396807
12aa4878b40
13595c89ca2
1432473db56
151c52ae7b0
hex1167c9360

4672230240 has 48 divisors (see below), whose sum is σ = 14717526768. Its totient is φ = 1245927936.

The previous prime is 4672230239. The next prime is 4672230293. The reversal of 4672230240 is 420322764.

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 = 4672230198 and 4672230207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4866427 + ... + 4867386.

It is an arithmetic number, because the mean of its divisors is an integer number (306615141).

Almost surely, 24672230240 is an apocalyptic number.

4672230240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4672230240 is an abundant number, since it is smaller than the sum of its proper divisors (10045296528).

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

4672230240 is a wasteful number, since it uses less digits than its factorization.

4672230240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9733831 (or 9733823 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 30.

The square root of 4672230240 is about 68353.7141638990. The cubic root of 4672230240 is about 1671.7631396042.

The spelling of 4672230240 in words is "four billion, six hundred seventy-two million, two hundred thirty 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 9733813 19467626 29201439 38935252 48669065 58402878 77870504 97338130 116805756 146007195 155741008 194676260 233611512 292014390 311482016 389352520 467223024 584028780 778705040 934446048 1168057560 1557410080 2336115120 4672230240