Search a number
-
+
48678240 = 25351329269
BaseRepresentation
bin1011100110110…
…0010101100000
310101121002222210
42321230111200
544430200430
64455202120
71130521032
oct271542540
9111532883
1048678240
1125528756
1214376340
13a1148c0
146671c52
1544182b0
hex2e6c560

48678240 has 192 divisors, whose sum is σ = 171460800. Its totient is φ = 11526144.

The previous prime is 48678197. The next prime is 48678241. The reversal of 48678240 is 4287684.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48678241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 180826 + ... + 181094.

It is an arithmetic number, because the mean of its divisors is an integer number (893025).

Almost surely, 248678240 is an apocalyptic number.

48678240 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 48678240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85730400).

48678240 is an abundant number, since it is smaller than the sum of its proper divisors (122782560).

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

48678240 is a wasteful number, since it uses less digits than its factorization.

48678240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The square root of 48678240 is about 6976.9792890620. The cubic root of 48678240 is about 365.1278466264.

The spelling of 48678240 in words is "forty-eight million, six hundred seventy-eight thousand, two hundred forty".