Search a number
-
+
48278000 = 2453101239
BaseRepresentation
bin1011100000101…
…0100111110000
310100211202222002
42320022213300
544324344000
64442433132
71124233121
oct270124760
9110752862
1048278000
1125284a81
12142027a8
13a004684
1465aa048
1543898d5
hex2e0a9f0

48278000 has 80 divisors (see below), whose sum is σ = 118385280. Its totient is φ = 19040000.

The previous prime is 48277991. The next prime is 48278047. The reversal of 48278000 is 87284.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 201881 + ... + 202119.

It is an arithmetic number, because the mean of its divisors is an integer number (1479816).

Almost surely, 248278000 is an apocalyptic number.

48278000 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 48278000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59192640).

48278000 is an abundant number, since it is smaller than the sum of its proper divisors (70107280).

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

48278000 is a wasteful number, since it uses less digits than its factorization.

48278000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 29.

The square root of 48278000 is about 6948.2371865100. The cubic root of 48278000 is about 364.1243788611.

The spelling of 48278000 in words is "forty-eight million, two hundred seventy-eight thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 101 125 200 202 239 250 400 404 478 500 505 808 956 1000 1010 1195 1616 1912 2000 2020 2390 2525 3824 4040 4780 5050 5975 8080 9560 10100 11950 12625 19120 20200 23900 24139 25250 29875 40400 47800 48278 50500 59750 95600 96556 101000 119500 120695 193112 202000 239000 241390 386224 478000 482780 603475 965560 1206950 1931120 2413900 3017375 4827800 6034750 9655600 12069500 24139000 48278000