Search a number
-
+
48243400 = 23521092213
BaseRepresentation
bin1011100000001…
…0001011001000
310100210000111121
42320002023020
544322242100
64442005024
71124030212
oct270021310
9110700447
1048243400
1125260a87
12141a6774
139cc19ba
14659b5b2
15437e51a
hex2e022c8

48243400 has 48 divisors (see below), whose sum is σ = 113246100. Its totient is φ = 19111680.

The previous prime is 48243389. The next prime is 48243401. The reversal of 48243400 is 434284.

It can be written as a sum of positive squares in 6 ways, for example, as 38118276 + 10125124 = 6174^2 + 3182^2 .

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (48243401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20694 + ... + 22906.

Almost surely, 248243400 is an apocalyptic number.

48243400 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 48243400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56623050).

48243400 is an abundant number, since it is smaller than the sum of its proper divisors (65002700).

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

48243400 is a wasteful number, since it uses less digits than its factorization.

48243400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2338 (or 2329 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 48243400 is about 6945.7469000821. The cubic root of 48243400 is about 364.0373708763.

Adding to 48243400 its reverse (434284), we get a palindrome (48677684).

The spelling of 48243400 in words is "forty-eight million, two hundred forty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 109 200 218 436 545 872 1090 2180 2213 2725 4360 4426 5450 8852 10900 11065 17704 21800 22130 44260 55325 88520 110650 221300 241217 442600 482434 964868 1206085 1929736 2412170 4824340 6030425 9648680 12060850 24121700 48243400