[go: up one dir, main page]

Search a number
-
+
48195840 = 2835711163
BaseRepresentation
bin1011011111011…
…0100100000000
310100200121021010
42313312210000
544314231330
64441000520
71123441440
oct267664400
9110617233
1048195840
1125229280
1214183140
139ca6164
146588120
1543703b0
hex2df6900

48195840 has 288 divisors, whose sum is σ = 193084416. Its totient is φ = 9953280.

The previous prime is 48195839. The next prime is 48195857. The reversal of 48195840 is 4859184.

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, 295599 + ... + 295761.

It is an arithmetic number, because the mean of its divisors is an integer number (670432).

Almost surely, 248195840 is an apocalyptic number.

48195840 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 48195840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96542208).

48195840 is an abundant number, since it is smaller than the sum of its proper divisors (144888576).

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

48195840 is a wasteful number, since it uses less digits than its factorization.

48195840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The square root of 48195840 is about 6942.3223779943. The cubic root of 48195840 is about 363.9177046979.

The spelling of 48195840 in words is "forty-eight million, one hundred ninety-five thousand, eight hundred forty".