Search a number
-
+
5330448 = 2436457
BaseRepresentation
bin10100010101011000010000
3101000211000000
4110111120100
52331033243
6310130000
763210444
oct24253020
911024000
105330448
113010932
121950900
131148316
149ca824
157045d3
hex515610

5330448 has 70 divisors (see below), whose sum is σ = 15518414. Its totient is φ = 1772928.

The previous prime is 5330447. The next prime is 5330449. The reversal of 5330448 is 8440335.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5330447) and next prime (5330449).

It can be written as a sum of positive squares in only one way, i.e., 5143824 + 186624 = 2268^2 + 432^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5330443) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 11436 + ... + 11892.

Almost surely, 25330448 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 5330448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7759207).

5330448 is an abundant number, since it is smaller than the sum of its proper divisors (10187966).

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

5330448 is an equidigital number, since it uses as much as digits as its factorization.

5330448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 5330448 is about 2308.7762992547. The cubic root of 5330448 is about 174.6845801283.

It can be divided in two parts, 5330 and 448, that added together give a triangular number (5778 = T107).

The spelling of 5330448 in words is "five million, three hundred thirty thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 457 486 648 729 914 972 1296 1371 1458 1828 1944 2742 2916 3656 3888 4113 5484 5832 7312 8226 10968 11664 12339 16452 21936 24678 32904 37017 49356 65808 74034 98712 111051 148068 197424 222102 296136 333153 444204 592272 666306 888408 1332612 1776816 2665224 5330448