[go: up one dir, main page]

Search a number
-
+
48936096 = 25331119271
BaseRepresentation
bin1011101010101…
…1010010100000
310102002012201000
42322223102200
5100011423341
64504512000
71132643556
oct272532240
9112065630
1048936096
1125694460
121447b600
13a1a5091
1466dbbd6
1544698b6
hex2eab4a0

48936096 has 192 divisors, whose sum is σ = 164505600. Its totient is φ = 13996800.

The previous prime is 48936029. The next prime is 48936113. The reversal of 48936096 is 69063984.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 180441 + ... + 180711.

It is an arithmetic number, because the mean of its divisors is an integer number (856800).

Almost surely, 248936096 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 48936096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82252800).

48936096 is an abundant number, since it is smaller than the sum of its proper divisors (115569504).

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

48936096 is a wasteful number, since it uses less digits than its factorization.

48936096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 48936096 is about 6995.4339393636. The cubic root of 48936096 is about 365.7714240616.

It can be divided in two parts, 489 and 36096, that added together give a triangular number (36585 = T270).

The spelling of 48936096 in words is "forty-eight million, nine hundred thirty-six thousand, ninety-six".