Search a number
-
+
48195960 = 23351932081
BaseRepresentation
bin1011011111011…
…0100101111000
310100200121102120
42313312211320
544314232320
64441001240
71123442001
oct267664570
9110617376
1048195960
112522937a
1214183220
139ca6227
1465881a8
154370440
hex2df6978

48195960 has 64 divisors (see below), whose sum is σ = 145406880. Its totient is φ = 12779520.

The previous prime is 48195949. The next prime is 48195967. The reversal of 48195960 is 6959184.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48195967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22120 + ... + 24200.

Almost surely, 248195960 is an apocalyptic number.

48195960 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 48195960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72703440).

48195960 is an abundant number, since it is smaller than the sum of its proper divisors (97210920).

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

48195960 is a wasteful number, since it uses less digits than its factorization.

48195960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2288 (or 2284 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The square root of 48195960 is about 6942.3310206299. The cubic root of 48195960 is about 363.9180067301.

The spelling of 48195960 in words is "forty-eight million, one hundred ninety-five thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 193 386 579 772 965 1158 1544 1930 2081 2316 2895 3860 4162 4632 5790 6243 7720 8324 10405 11580 12486 16648 20810 23160 24972 31215 41620 49944 62430 83240 124860 249720 401633 803266 1204899 1606532 2008165 2409798 3213064 4016330 4819596 6024495 8032660 9639192 12048990 16065320 24097980 48195960