Search a number
-
+
787428096 = 28371319593
BaseRepresentation
bin101110111011110…
…011001100000000
32000212200111021120
4232323303030000
53103040144341
6210045152240
725341012510
oct5673631400
92025614246
10787428096
11374534424
1219b85b680
13c71a07b0
1476815840
15491e2066
hex2eef3300

787428096 has 288 divisors, whose sum is σ = 2719664640. Its totient is φ = 196411392.

The previous prime is 787428091. The next prime is 787428113. The reversal of 787428096 is 690824787.

787428096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (787428091) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1327576 + ... + 1328168.

It is an arithmetic number, because the mean of its divisors is an integer number (9443280).

Almost surely, 2787428096 is an apocalyptic number.

787428096 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 787428096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1359832320).

787428096 is an abundant number, since it is smaller than the sum of its proper divisors (1932236544).

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

787428096 is a wasteful number, since it uses less digits than its factorization.

787428096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 51.

The square root of 787428096 is about 28061.1492280698. The cubic root of 787428096 is about 923.4292684302.

The spelling of 787428096 in words is "seven hundred eighty-seven million, four hundred twenty-eight thousand, ninety-six".