Search a number
-
+
48976160 = 255378273
BaseRepresentation
bin1011101011010…
…1000100100000
310102011020122212
42322311010200
5100014214120
64505421252
71133201432
oct272650440
9112136585
1048976160
1125711572
121449a828
13a1ba39c
14670c652
1544766c5
hex2eb5120

48976160 has 48 divisors (see below), whose sum is σ = 118847736. Its totient is φ = 19058688.

The previous prime is 48976159. The next prime is 48976163. The reversal of 48976160 is 6167984.

It can be written as a sum of positive squares in 4 ways, for example, as 48497296 + 478864 = 6964^2 + 692^2 .

It is not an unprimeable number, because it can be changed into a prime (48976163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1784 + ... + 10056.

Almost surely, 248976160 is an apocalyptic number.

48976160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48976160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59423868).

48976160 is an abundant number, since it is smaller than the sum of its proper divisors (69871576).

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

48976160 is a wasteful number, since it uses less digits than its factorization.

48976160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8325 (or 8317 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 41.

The square root of 48976160 is about 6998.2969356837. The cubic root of 48976160 is about 365.8712159003.

The spelling of 48976160 in words is "forty-eight million, nine hundred seventy-six thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 74 80 148 160 185 296 370 592 740 1184 1480 2960 5920 8273 16546 33092 41365 66184 82730 132368 165460 264736 306101 330920 612202 661840 1224404 1323680 1530505 2448808 3061010 4897616 6122020 9795232 12244040 24488080 48976160