Search a number
-
+
14848500 = 2235319521
BaseRepresentation
bin111000101001…
…000111110100
31000221101022110
4320221013310
512300123000
61250131020
7240132042
oct70510764
930841273
1014848500
118421997
124b80a70
1330cb6c4
141d87392
151484850
hexe291f4

14848500 has 96 divisors (see below), whose sum is σ = 45601920. Its totient is φ = 3744000.

The previous prime is 14848441. The next prime is 14848511. The reversal of 14848500 is 584841.

14848500 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 28240 + ... + 28760.

It is an arithmetic number, because the mean of its divisors is an integer number (475020).

Almost surely, 214848500 is an apocalyptic number.

14848500 is a gapful number since it is divisible by the number (10) 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 14848500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22800960).

14848500 is an abundant number, since it is smaller than the sum of its proper divisors (30753420).

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

14848500 is a wasteful number, since it uses less digits than its factorization.

14848500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 14848500 is about 3853.3751439485. The cubic root of 14848500 is about 245.7881049291.

The spelling of 14848500 in words is "fourteen million, eight hundred forty-eight thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 125 150 190 228 250 285 300 375 380 475 500 521 570 750 950 1042 1140 1425 1500 1563 1900 2084 2375 2605 2850 3126 4750 5210 5700 6252 7125 7815 9500 9899 10420 13025 14250 15630 19798 26050 28500 29697 31260 39075 39596 49495 52100 59394 65125 78150 98990 118788 130250 148485 156300 195375 197980 247475 260500 296970 390750 494950 593940 742425 781500 989900 1237375 1484850 2474750 2969700 3712125 4949500 7424250 14848500