Search a number
-
+
96928048 = 2471376317
BaseRepresentation
bin1011100011100…
…00000100110000
320202101110021201
411301300010300
5144303144143
613341300544
72254606030
oct561600460
9222343251
1096928048
114a793528
1228564754
1317109499
14cc318c0
15879964d
hex5c70130

96928048 has 40 divisors (see below), whose sum is σ = 216227232. Its totient is φ = 41230848.

The previous prime is 96928009. The next prime is 96928057. The reversal of 96928048 is 84082969.

It is a junction number, because it is equal to n+sod(n) for n = 96927989 and 96928007.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12186 + ... + 18502.

Almost surely, 296928048 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 96928048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108113616).

96928048 is an abundant number, since it is smaller than the sum of its proper divisors (119299184).

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

96928048 is a wasteful number, since it uses less digits than its factorization.

96928048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6469 (or 6463 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 46.

The square root of 96928048 is about 9845.2043147921. The cubic root of 96928048 is about 459.3564535866.

The spelling of 96928048 in words is "ninety-six million, nine hundred twenty-eight thousand, forty-eight".

Divisors: 1 2 4 7 8 14 16 28 56 112 137 274 548 959 1096 1918 2192 3836 6317 7672 12634 15344 25268 44219 50536 88438 101072 176876 353752 707504 865429 1730858 3461716 6058003 6923432 12116006 13846864 24232012 48464024 96928048