Search a number
-
+
673006528 = 26311272671
BaseRepresentation
bin101000000111010…
…100001111000000
31201220101021101201
4220013110033000
52334242202103
6150440510544
722451314105
oct5007241700
91656337351
10673006528
11315992847
1216947b454
13a957aa1c
146554caac
153e13e51d
hex281d43c0

673006528 has 56 divisors (see below), whose sum is σ = 1389953024. Its totient is φ = 322963200.

The previous prime is 673006517. The next prime is 673006541. The reversal of 673006528 is 825600376.

It is a super-2 number, since 2×6730065282 = 905875573461229568, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 250633 + ... + 253303.

Almost surely, 2673006528 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 673006528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694976512).

673006528 is an abundant number, since it is smaller than the sum of its proper divisors (716946496).

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

673006528 is a wasteful number, since it uses less digits than its factorization.

673006528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2841 (or 2831 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The square root of 673006528 is about 25942.3693597944. The cubic root of 673006528 is about 876.3409221874.

The spelling of 673006528 in words is "six hundred seventy-three million, six thousand, five hundred twenty-eight".

Divisors: 1 2 4 8 16 31 32 62 64 124 127 248 254 496 508 992 1016 1984 2032 2671 3937 4064 5342 7874 8128 10684 15748 21368 31496 42736 62992 82801 85472 125984 165602 170944 251968 331204 339217 662408 678434 1324816 1356868 2649632 2713736 5299264 5427472 10515727 10854944 21031454 21709888 42062908 84125816 168251632 336503264 673006528