Search a number
-
+
764124048 = 243213140507
BaseRepresentation
bin101101100010111…
…001101110010000
31222020211112010200
4231202321232100
53031103432143
6203453455200
724635642622
oct5542715620
91866745120
10764124048
11362367786
12193aa1500
13c240150c
14736aac12
154713c1d3
hex2d8b9b90

764124048 has 60 divisors (see below), whose sum is σ = 2154863568. Its totient is φ = 252757440.

The previous prime is 764124047. The next prime is 764124071. The reversal of 764124048 is 840421467.

764124048 is a `hidden beast` number, since 7 + 641 + 2 + 4 + 0 + 4 + 8 = 666.

764124048 is digitally balanced in base 2, because in such base 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 (36).

It is not an unprimeable number, because it can be changed into a prime (764124043) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1390 + ... + 39117.

Almost surely, 2764124048 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 764124048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1077431784).

764124048 is an abundant number, since it is smaller than the sum of its proper divisors (1390739520).

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

764124048 is a wasteful number, since it uses less digits than its factorization.

764124048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40652 (or 40643 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 764124048 is about 27642.7937806583. The cubic root of 764124048 is about 914.2282195802.

The spelling of 764124048 in words is "seven hundred sixty-four million, one hundred twenty-four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 131 144 262 393 524 786 1048 1179 1572 2096 2358 3144 4716 6288 9432 18864 40507 81014 121521 162028 243042 324056 364563 486084 648112 729126 972168 1458252 1944336 2916504 5306417 5833008 10612834 15919251 21225668 31838502 42451336 47757753 63677004 84902672 95515506 127354008 191031012 254708016 382062024 764124048