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48993392 = 24731103137
BaseRepresentation
bin1011101011100…
…1010001110000
310102012010022002
42322321101300
5100020242032
64510033132
71133302610
oct272712160
9112163262
1048993392
1125723508
12144a87a8
13a1c5196
146714a40
15447b862
hex2eb9470

48993392 has 80 divisors (see below), whose sum is σ = 113897472. Its totient is φ = 19975680.

The previous prime is 48993391. The next prime is 48993403. The reversal of 48993392 is 29339984.

48993392 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48993391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 357548 + ... + 357684.

Almost surely, 248993392 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 48993392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56948736).

48993392 is an abundant number, since it is smaller than the sum of its proper divisors (64904080).

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

48993392 is a wasteful number, since it uses less digits than its factorization.

48993392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 280 counting only the distinct ones).

The product of its digits is 419904, while the sum is 47.

The square root of 48993392 is about 6999.5279840858. The cubic root of 48993392 is about 365.9141208124.

The spelling of 48993392 in words is "forty-eight million, nine hundred ninety-three thousand, three hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 31 56 62 103 112 124 137 206 217 248 274 412 434 496 548 721 824 868 959 1096 1442 1648 1736 1918 2192 2884 3193 3472 3836 4247 5768 6386 7672 8494 11536 12772 14111 15344 16988 22351 25544 28222 29729 33976 44702 51088 56444 59458 67952 89404 98777 112888 118916 178808 197554 225776 237832 357616 395108 437441 475664 790216 874882 1580432 1749764 3062087 3499528 6124174 6999056 12248348 24496696 48993392