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48986730 = 232513149281
BaseRepresentation
bin1011101011011…
…1101001101010
310102011210011100
42322313221222
5100020033410
64505542230
71133244312
oct272675152
9112153140
1048986730
1125719501
12144a4976
13a1c2140
146712442
1544798c0
hex2eb7a6a

48986730 has 96 divisors (see below), whose sum is σ = 138574800. Its totient is φ = 11934720.

The previous prime is 48986719. The next prime is 48986767. The reversal of 48986730 is 3768984.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 7112889 + 41873841 = 2667^2 + 6471^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 174190 + ... + 174470.

Almost surely, 248986730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48986730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69287400).

48986730 is an abundant number, since it is smaller than the sum of its proper divisors (89588070).

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

48986730 is a wasteful number, since it uses less digits than its factorization.

48986730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 48986730 is about 6999.0520786747. The cubic root of 48986730 is about 365.8975346955.

It can be divided in two parts, 4898 and 6730, that added together give a triangular number (11628 = T152).

The spelling of 48986730 in words is "forty-eight million, nine hundred eighty-six thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 149 195 234 281 298 390 447 562 585 745 843 894 1170 1341 1405 1490 1686 1937 2235 2529 2682 2810 3653 3874 4215 4470 5058 5811 6705 7306 8430 9685 10959 11622 12645 13410 17433 18265 19370 21918 25290 29055 32877 34866 36530 41869 54795 58110 65754 83738 87165 109590 125607 164385 174330 209345 251214 328770 376821 418690 544297 628035 753642 1088594 1256070 1632891 1884105 2721485 3265782 3768210 4898673 5442970 8164455 9797346 16328910 24493365 48986730