Search a number
-
+
48152384 = 267195657
BaseRepresentation
bin1011011110101…
…1111101000000
310100121101122122
42313223331000
544311334014
64440023412
71123200650
oct267537500
9110541578
1048152384
11251a9665
1214161b68
139c8c447
146576360
15436258e
hex2debf40

48152384 has 56 divisors (see below), whose sum is σ = 114970560. Its totient is φ = 19547136.

The previous prime is 48152359. The next prime is 48152387. The reversal of 48152384 is 48325184.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48152387) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5684 + ... + 11340.

Almost surely, 248152384 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 48152384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57485280).

48152384 is an abundant number, since it is smaller than the sum of its proper divisors (66818176).

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

48152384 is a wasteful number, since it uses less digits than its factorization.

48152384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5695 (or 5685 counting only the distinct ones).

The product of its digits is 30720, while the sum is 35.

The square root of 48152384 is about 6939.1918837859. The cubic root of 48152384 is about 363.8082957863.

The spelling of 48152384 in words is "forty-eight million, one hundred fifty-two thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 133 152 224 266 304 448 532 608 1064 1216 2128 4256 5657 8512 11314 22628 39599 45256 79198 90512 107483 158396 181024 214966 316792 362048 429932 633584 752381 859864 1267168 1504762 1719728 2534336 3009524 3439456 6019048 6878912 12038096 24076192 48152384