Search a number
-
+
48703952 = 241132287
BaseRepresentation
bin1011100111001…
…0100111010000
310101122102021002
42321302213100
544432011302
64455521132
71130656013
oct271624720
9111572232
1048703952
1125546000
12143891a8
13a12350b
14667b37a
154420c02
hex2e729d0

48703952 has 40 divisors (see below), whose sum is σ = 103838592. Its totient is φ = 22128480.

The previous prime is 48703943. The next prime is 48703957. The reversal of 48703952 is 25930784.

48703952 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 (48703957) 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 7 ways as a sum of consecutive naturals, for example, 20153 + ... + 22439.

Almost surely, 248703952 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 48703952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51919296).

48703952 is an abundant number, since it is smaller than the sum of its proper divisors (55134640).

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

48703952 is a wasteful number, since it uses less digits than its factorization.

48703952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2328 (or 2300 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 38.

The square root of 48703952 is about 6978.8216770455. The cubic root of 48703952 is about 365.1921225378.

The spelling of 48703952 in words is "forty-eight million, seven hundred three thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1331 1936 2287 2662 4574 5324 9148 10648 18296 21296 25157 36592 50314 100628 201256 276727 402512 553454 1106908 2213816 3043997 4427632 6087994 12175988 24351976 48703952