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48786984 = 23321921877
BaseRepresentation
bin1011101000011…
…0111000101000
310101210122011100
42322012320220
544442140414
64501401400
71131453051
oct272067050
9111718140
1048786984
11255a2424
1214409260
13a15224c
14669d728
15443a609
hex2e86e28

48786984 has 72 divisors (see below), whose sum is σ = 139526010. Its totient is φ = 15398208.

The previous prime is 48786937. The next prime is 48786989. The reversal of 48786984 is 48968784.

48786984 is a `hidden beast` number, since 487 + 86 + 9 + 84 = 666.

It can be written as a sum of positive squares in only one way, i.e., 39312900 + 9474084 = 6270^2 + 3078^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 48786984.

It is not an unprimeable number, because it can be changed into a prime (48786989) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 25054 + ... + 26930.

Almost surely, 248786984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48786984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69763005).

48786984 is an abundant number, since it is smaller than the sum of its proper divisors (90739026).

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

48786984 is a wasteful number, since it uses less digits than its factorization.

48786984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1927 (or 1901 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 54.

The square root of 48786984 is about 6984.7679990104. The cubic root of 48786984 is about 365.3995349805.

It can be divided in two parts, 48786 and 984, that added together give a triangular number (49770 = T315).

The spelling of 48786984 in words is "forty-eight million, seven hundred eighty-six thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 342 361 456 684 722 1083 1368 1444 1877 2166 2888 3249 3754 4332 5631 6498 7508 8664 11262 12996 15016 16893 22524 25992 33786 35663 45048 67572 71326 106989 135144 142652 213978 285304 320967 427956 641934 677597 855912 1283868 1355194 2032791 2567736 2710388 4065582 5420776 6098373 8131164 12196746 16262328 24393492 48786984