Search a number
-
+
53448 = 23317131
BaseRepresentation
bin1101000011001000
32201022120
431003020
53202243
61051240
7311553
oct150310
981276
1053448
113717a
1226b20
131b435
141569a
1510c83
hexd0c8

53448 has 32 divisors (see below), whose sum is σ = 142560. Its totient is φ = 16640.

The previous prime is 53441. The next prime is 53453. The reversal of 53448 is 84435.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 343 + ... + 473.

It is an arithmetic number, because the mean of its divisors is an integer number (4455).

253448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71280).

53448 is an abundant number, since it is smaller than the sum of its proper divisors (89112).

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

53448 is a wasteful number, since it uses less digits than its factorization.

53448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 153 counting only the distinct ones).

The product of its digits is 1920, while the sum is 24.

The square root of 53448 is about 231.1882349948. The cubic root of 53448 is about 37.6683982114.

The spelling of 53448 in words is "fifty-three thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 131 136 204 262 393 408 524 786 1048 1572 2227 3144 4454 6681 8908 13362 17816 26724 53448