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48783768 = 23311414507
BaseRepresentation
bin1011101000011…
…0000110011000
310101210110202020
42322012012120
544442040033
64501334440
71131440505
oct272060630
9111713666
1048783768
112559aa70
1214407420
13a150947
14669c4ac
1544396b3
hex2e86198

48783768 has 64 divisors (see below), whose sum is σ = 136321920. Its totient is φ = 14419200.

The previous prime is 48783733. The next prime is 48783799. The reversal of 48783768 is 86738784.

It is a self number, because there is not a number n which added to its sum of digits gives 48783768.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8571 + ... + 13077.

It is an arithmetic number, because the mean of its divisors is an integer number (2130030).

Almost surely, 248783768 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 48783768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68160960).

48783768 is an abundant number, since it is smaller than the sum of its proper divisors (87538152).

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

48783768 is a wasteful number, since it uses less digits than its factorization.

48783768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4568 (or 4564 counting only the distinct ones).

The product of its digits is 1806336, while the sum is 51.

The square root of 48783768 is about 6984.5377799823. The cubic root of 48783768 is about 365.3915058532.

It can be divided in two parts, 4878 and 3768, that added together give a triangular number (8646 = T131).

The spelling of 48783768 in words is "forty-eight million, seven hundred eighty-three thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 41 44 66 82 88 123 132 164 246 264 328 451 492 902 984 1353 1804 2706 3608 4507 5412 9014 10824 13521 18028 27042 36056 49577 54084 99154 108168 148731 184787 198308 297462 369574 396616 554361 594924 739148 1108722 1189848 1478296 2032657 2217444 4065314 4434888 6097971 8130628 12195942 16261256 24391884 48783768