Search a number
-
+
1026857349 = 32716299323
BaseRepresentation
bin111101001101001…
…001100110000101
32122120012202110200
4331031021212011
54100333413344
6245521041113
734306100130
oct7515114605
92576182420
101026857349
114876a8141
12247a86199
131349818cb
149a53d217
1560239069
hex3d349985

1026857349 has 12 divisors (see below), whose sum is σ = 1695129696. Its totient is φ = 586775592.

The previous prime is 1026857339. The next prime is 1026857369. The reversal of 1026857349 is 9437586201.

1026857349 is a `hidden beast` number, since 10 + 2 + 68 + 573 + 4 + 9 = 666.

1026857349 is digitally balanced in base 2 and base 10, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1026857349 - 216 = 1026791813 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

1026857349 is strictly pandigital in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1026857339) 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, 8149599 + ... + 8149724.

It is an arithmetic number, because the mean of its divisors is an integer number (141260808).

It is a 2-persistent number, because it is pandigital, and so is 2⋅1026857349 = 2053714698, but 3⋅1026857349 = 3080572047 is not.

Almost surely, 21026857349 is an apocalyptic number.

It is an amenable number.

1026857349 is a deficient number, since it is larger than the sum of its proper divisors (668272347).

1026857349 is a wasteful number, since it uses less digits than its factorization.

1026857349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16299336 (or 16299333 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 1026857349 is about 32044.6149766228. The cubic root of 1026857349 is about 1008.8734781569.

The spelling of 1026857349 in words is "one billion, twenty-six million, eight hundred fifty-seven thousand, three hundred forty-nine".

Divisors: 1 3 7 9 21 63 16299323 48897969 114095261 146693907 342285783 1026857349