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47680580 = 22517140237
BaseRepresentation
bin1011010111100…
…0110001000100
310022201102110102
42311320301010
544201234310
64421543232
71116164303
oct265706104
9108642412
1047680580
1124a07142
1213b74b18
139b5577c
14649243a
1542bc8a5
hex2d78c44

47680580 has 24 divisors (see below), whose sum is σ = 106019928. Its totient is φ = 17950208.

The previous prime is 47680571. The next prime is 47680583. The reversal of 47680580 is 8508674.

It can be written as a sum of positive squares in 4 ways, for example, as 25080064 + 22600516 = 5008^2 + 4754^2 .

It is a super-3 number, since 3×476805803 (a number of 24 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (47680583) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69779 + ... + 70458.

It is an arithmetic number, because the mean of its divisors is an integer number (4417497).

Almost surely, 247680580 is an apocalyptic number.

It is an amenable number.

47680580 is an abundant number, since it is smaller than the sum of its proper divisors (58339348).

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

47680580 is a wasteful number, since it uses less digits than its factorization.

47680580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140263 (or 140261 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 38.

The square root of 47680580 is about 6905.1125986475. The cubic root of 47680580 is about 362.6161783781.

The spelling of 47680580 in words is "forty-seven million, six hundred eighty thousand, five hundred eighty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 140237 280474 560948 701185 1402370 2384029 2804740 4768058 9536116 11920145 23840290 47680580