Search a number
-
+
671144448 = 29313192961
BaseRepresentation
bin101000000000001…
…101101000000000
31201202212200002210
4220000031220000
52333303110243
6150332542120
722426430232
oct5000155000
91652780083
10671144448
11314930837
12168921940
13a90782c0
14651c6252
153ddc2933
hex2800da00

671144448 has 320 divisors, whose sum is σ = 2131113600. Its totient is φ = 185794560.

The previous prime is 671144447. The next prime is 671144483. The reversal of 671144448 is 844441176.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (671144447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11002338 + ... + 11002398.

It is an arithmetic number, because the mean of its divisors is an integer number (6659730).

Almost surely, 2671144448 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 671144448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1065556800).

671144448 is an abundant number, since it is smaller than the sum of its proper divisors (1459969152).

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

671144448 is a wasteful number, since it uses less digits than its factorization.

671144448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 127 counting only the distinct ones).

The product of its digits is 86016, while the sum is 39.

The square root of 671144448 is about 25906.4557205342. The cubic root of 671144448 is about 875.5319532156.

The spelling of 671144448 in words is "six hundred seventy-one million, one hundred forty-four thousand, four hundred forty-eight".